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Finding the Fourth Proportional to 2,142.60, 2,957.60 and 1,396.74

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Solution

The fourth proportional to 2,142.60, 2,957.60 and 1,396.74 is: 1,928.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,142.60 : 2,957.60 = 1,396.74 : x
  2. Step 2: Convert to fraction form
    2,142.60/2,957.60 = 1,396.74/x
  3. Step 3: Cross multiply
    2,142.60x = 2,957.60 × 1,396.74
  4. Step 4: Simplify right side
    2,142.60x = 4,130,998.22
  5. Step 5: Solve for x
    x = 4,130,998.22/2,142.60
  6. Step 6: Final answer
    x = 1,928.03

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.