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Finding the Fourth Proportional to 2,882.16, 4,322.76 and 1,032.93

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Solution

The fourth proportional to 2,882.16, 4,322.76 and 1,032.93 is: 1,549.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,882.16 : 4,322.76 = 1,032.93 : x
  2. Step 2: Convert to fraction form
    2,882.16/4,322.76 = 1,032.93/x
  3. Step 3: Cross multiply
    2,882.16x = 4,322.76 × 1,032.93
  4. Step 4: Simplify right side
    2,882.16x = 4,465,108.49
  5. Step 5: Solve for x
    x = 4,465,108.49/2,882.16
  6. Step 6: Final answer
    x = 1,549.22

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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.