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Finding the Fourth Proportional to 1,689.51, 2,531.83 and 714.27

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Solution

The fourth proportional to 1,689.51, 2,531.83 and 714.27 is: 1,070.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,689.51 : 2,531.83 = 714.27 : x
  2. Step 2: Convert to fraction form
    1,689.51/2,531.83 = 714.27/x
  3. Step 3: Cross multiply
    1,689.51x = 2,531.83 × 714.27
  4. Step 4: Simplify right side
    1,689.51x = 1,808,410.21
  5. Step 5: Solve for x
    x = 1,808,410.21/1,689.51
  6. Step 6: Final answer
    x = 1,070.38

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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.