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Finding the Fourth Proportional to 2,527.55, 3,488.03 and 1,465.53

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Solution

The fourth proportional to 2,527.55, 3,488.03 and 1,465.53 is: 2,022.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,527.55 : 3,488.03 = 1,465.53 : x
  2. Step 2: Convert to fraction form
    2,527.55/3,488.03 = 1,465.53/x
  3. Step 3: Cross multiply
    2,527.55x = 3,488.03 × 1,465.53
  4. Step 4: Simplify right side
    2,527.55x = 5,111,795.17
  5. Step 5: Solve for x
    x = 5,111,795.17/2,527.55
  6. Step 6: Final answer
    x = 2,022.43

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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.