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Finding the Fourth Proportional to 1,417.26, 2,125.89 and 595.32

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Solution

The fourth proportional to 1,417.26, 2,125.89 and 595.32 is: 892.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,417.26 : 2,125.89 = 595.32 : x
  2. Step 2: Convert to fraction form
    1,417.26/2,125.89 = 595.32/x
  3. Step 3: Cross multiply
    1,417.26x = 2,125.89 × 595.32
  4. Step 4: Simplify right side
    1,417.26x = 1,265,584.83
  5. Step 5: Solve for x
    x = 1,265,584.83/1,417.26
  6. Step 6: Final answer
    x = 892.98

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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.