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Finding the Fourth Proportional to 1,873.12, 2,794.74 and 1,596.10

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Solution

The fourth proportional to 1,873.12, 2,794.74 and 1,596.10 is: 2,381.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,873.12 : 2,794.74 = 1,596.10 : x
  2. Step 2: Convert to fraction form
    1,873.12/2,794.74 = 1,596.10/x
  3. Step 3: Cross multiply
    1,873.12x = 2,794.74 × 1,596.10
  4. Step 4: Simplify right side
    1,873.12x = 4,460,684.51
  5. Step 5: Solve for x
    x = 4,460,684.51/1,873.12
  6. Step 6: Final answer
    x = 2,381.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.