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Finding the Fourth Proportional to 1,371.30, 2,056.91 and 549.35

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Solution

The fourth proportional to 1,371.30, 2,056.91 and 549.35 is: 824.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,371.30 : 2,056.91 = 549.35 : x
  2. Step 2: Convert to fraction form
    1,371.30/2,056.91 = 549.35/x
  3. Step 3: Cross multiply
    1,371.30x = 2,056.91 × 549.35
  4. Step 4: Simplify right side
    1,371.30x = 1,129,965.90
  5. Step 5: Solve for x
    x = 1,129,965.90/1,371.30
  6. Step 6: Final answer
    x = 824.01

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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.