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Finding the Fourth Proportional to 1,714.36, 2,572.08 and 1,165.72

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Solution

The fourth proportional to 1,714.36, 2,572.08 and 1,165.72 is: 1,748.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,714.36 : 2,572.08 = 1,165.72 : x
  2. Step 2: Convert to fraction form
    1,714.36/2,572.08 = 1,165.72/x
  3. Step 3: Cross multiply
    1,714.36x = 2,572.08 × 1,165.72
  4. Step 4: Simplify right side
    1,714.36x = 2,998,325.10
  5. Step 5: Solve for x
    x = 2,998,325.10/1,714.36
  6. Step 6: Final answer
    x = 1,748.95

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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.