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Finding the Fourth Proportional to 2,041.42, 3,059.92 and 1,002.14

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Solution

The fourth proportional to 2,041.42, 3,059.92 and 1,002.14 is: 1,502.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,041.42 : 3,059.92 = 1,002.14 : x
  2. Step 2: Convert to fraction form
    2,041.42/3,059.92 = 1,002.14/x
  3. Step 3: Cross multiply
    2,041.42x = 3,059.92 × 1,002.14
  4. Step 4: Simplify right side
    2,041.42x = 3,066,468.23
  5. Step 5: Solve for x
    x = 3,066,468.23/2,041.42
  6. Step 6: Final answer
    x = 1,502.13

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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.