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Finding the Fourth Proportional to 1,434.55, 2,148.18 and 1,002.01

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Solution

The fourth proportional to 1,434.55, 2,148.18 and 1,002.01 is: 1,500.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,434.55 : 2,148.18 = 1,002.01 : x
  2. Step 2: Convert to fraction form
    1,434.55/2,148.18 = 1,002.01/x
  3. Step 3: Cross multiply
    1,434.55x = 2,148.18 × 1,002.01
  4. Step 4: Simplify right side
    1,434.55x = 2,152,497.84
  5. Step 5: Solve for x
    x = 2,152,497.84/1,434.55
  6. Step 6: Final answer
    x = 1,500.47

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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.