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Finding the Fourth Proportional to 1,426.61, 2,140.16 and 549.52

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Solution

The fourth proportional to 1,426.61, 2,140.16 and 549.52 is: 824.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,426.61 : 2,140.16 = 549.52 : x
  2. Step 2: Convert to fraction form
    1,426.61/2,140.16 = 549.52/x
  3. Step 3: Cross multiply
    1,426.61x = 2,140.16 × 549.52
  4. Step 4: Simplify right side
    1,426.61x = 1,176,052.63
  5. Step 5: Solve for x
    x = 1,176,052.63/1,426.61
  6. Step 6: Final answer
    x = 824.37

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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.