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Finding the Fourth Proportional to 1,606.59, 2,407.90 and 913.83

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Solution

The fourth proportional to 1,606.59, 2,407.90 and 913.83 is: 1,369.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,606.59 : 2,407.90 = 913.83 : x
  2. Step 2: Convert to fraction form
    1,606.59/2,407.90 = 913.83/x
  3. Step 3: Cross multiply
    1,606.59x = 2,407.90 × 913.83
  4. Step 4: Simplify right side
    1,606.59x = 2,200,411.26
  5. Step 5: Solve for x
    x = 2,200,411.26/1,606.59
  6. Step 6: Final answer
    x = 1,369.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.