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Finding the Fourth Proportional to 2,114.60, 2,962.60 and 2,114.60

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Solution

The fourth proportional to 2,114.60, 2,962.60 and 2,114.60 is: 2,962.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.60 : 2,962.60 = 2,114.60 : x
  2. Step 2: Convert to fraction form
    2,114.60/2,962.60 = 2,114.60/x
  3. Step 3: Cross multiply
    2,114.60x = 2,962.60 × 2,114.60
  4. Step 4: Simplify right side
    2,114.60x = 6,264,713.96
  5. Step 5: Solve for x
    x = 6,264,713.96/2,114.60
  6. Step 6: Final answer
    x = 2,962.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.