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Finding the Fourth Proportional to 1,647.32, 2,473.32 and 1,029.26

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Solution

The fourth proportional to 1,647.32, 2,473.32 and 1,029.26 is: 1,545.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,647.32 : 2,473.32 = 1,029.26 : x
  2. Step 2: Convert to fraction form
    1,647.32/2,473.32 = 1,029.26/x
  3. Step 3: Cross multiply
    1,647.32x = 2,473.32 × 1,029.26
  4. Step 4: Simplify right side
    1,647.32x = 2,545,689.34
  5. Step 5: Solve for x
    x = 2,545,689.34/1,647.32
  6. Step 6: Final answer
    x = 1,545.35

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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.