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Finding the Fourth Proportional to 1,612.31, 2,225.10 and 904.15

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Solution

The fourth proportional to 1,612.31, 2,225.10 and 904.15 is: 1,247.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,612.31 : 2,225.10 = 904.15 : x
  2. Step 2: Convert to fraction form
    1,612.31/2,225.10 = 904.15/x
  3. Step 3: Cross multiply
    1,612.31x = 2,225.10 × 904.15
  4. Step 4: Simplify right side
    1,612.31x = 2,011,818.60
  5. Step 5: Solve for x
    x = 2,011,818.60/1,612.31
  6. Step 6: Final answer
    x = 1,247.78

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