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Finding the Fourth Proportional to 1,714.48, 2,569.52 and 740.32

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Solution

The fourth proportional to 1,714.48, 2,569.52 and 740.32 is: 1,109.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,714.48 : 2,569.52 = 740.32 : x
  2. Step 2: Convert to fraction form
    1,714.48/2,569.52 = 740.32/x
  3. Step 3: Cross multiply
    1,714.48x = 2,569.52 × 740.32
  4. Step 4: Simplify right side
    1,714.48x = 1,902,267.05
  5. Step 5: Solve for x
    x = 1,902,267.05/1,714.48
  6. Step 6: Final answer
    x = 1,109.53

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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.