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Finding the Fourth Proportional to 1,515.96, 2,274.08 and 542.08

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Solution

The fourth proportional to 1,515.96, 2,274.08 and 542.08 is: 813.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,515.96 : 2,274.08 = 542.08 : x
  2. Step 2: Convert to fraction form
    1,515.96/2,274.08 = 542.08/x
  3. Step 3: Cross multiply
    1,515.96x = 2,274.08 × 542.08
  4. Step 4: Simplify right side
    1,515.96x = 1,232,733.29
  5. Step 5: Solve for x
    x = 1,232,733.29/1,515.96
  6. Step 6: Final answer
    x = 813.17

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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.