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Finding the Fourth Proportional to 1,612.83, 2,225.89 and 904.79

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Solution

The fourth proportional to 1,612.83, 2,225.89 and 904.79 is: 1,248.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,612.83 : 2,225.89 = 904.79 : x
  2. Step 2: Convert to fraction form
    1,612.83/2,225.89 = 904.79/x
  3. Step 3: Cross multiply
    1,612.83x = 2,225.89 × 904.79
  4. Step 4: Simplify right side
    1,612.83x = 2,013,963.01
  5. Step 5: Solve for x
    x = 2,013,963.01/1,612.83
  6. Step 6: Final answer
    x = 1,248.71

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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.