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Finding the Fourth Proportional to 2,688.55, 4,031.78 and 933.08

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Solution

The fourth proportional to 2,688.55, 4,031.78 and 933.08 is: 1,399.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,688.55 : 4,031.78 = 933.08 : x
  2. Step 2: Convert to fraction form
    2,688.55/4,031.78 = 933.08/x
  3. Step 3: Cross multiply
    2,688.55x = 4,031.78 × 933.08
  4. Step 4: Simplify right side
    2,688.55x = 3,761,948.46
  5. Step 5: Solve for x
    x = 3,761,948.46/2,688.55
  6. Step 6: Final answer
    x = 1,399.25

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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.