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Finding the Fourth Proportional to 2,527.68, 3,488.42 and 1,465.84

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Solution

The fourth proportional to 2,527.68, 3,488.42 and 1,465.84 is: 2,022.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,527.68 : 3,488.42 = 1,465.84 : x
  2. Step 2: Convert to fraction form
    2,527.68/3,488.42 = 1,465.84/x
  3. Step 3: Cross multiply
    2,527.68x = 3,488.42 × 1,465.84
  4. Step 4: Simplify right side
    2,527.68x = 5,113,465.57
  5. Step 5: Solve for x
    x = 5,113,465.57/2,527.68
  6. Step 6: Final answer
    x = 2,022.99

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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.