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Finding the Fourth Proportional to 2,688.36, 3,710 and 1,569.62

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Solution

The fourth proportional to 2,688.36, 3,710 and 1,569.62 is: 2,166.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,688.36 : 3,710 = 1,569.62 : x
  2. Step 2: Convert to fraction form
    2,688.36/3,710 = 1,569.62/x
  3. Step 3: Cross multiply
    2,688.36x = 3,710 × 1,569.62
  4. Step 4: Simplify right side
    2,688.36x = 5,823,290.20
  5. Step 5: Solve for x
    x = 5,823,290.20/2,688.36
  6. Step 6: Final answer
    x = 2,166.11

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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.