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Finding the Fourth Proportional to 2,688.51, 3,710.24 and 1,569.27

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Solution

The fourth proportional to 2,688.51, 3,710.24 and 1,569.27 is: 2,165.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,688.51 : 3,710.24 = 1,569.27 : x
  2. Step 2: Convert to fraction form
    2,688.51/3,710.24 = 1,569.27/x
  3. Step 3: Cross multiply
    2,688.51x = 3,710.24 × 1,569.27
  4. Step 4: Simplify right side
    2,688.51x = 5,822,360.48
  5. Step 5: Solve for x
    x = 5,822,360.48/2,688.51
  6. Step 6: Final answer
    x = 2,165.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.