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Finding the Fourth Proportional to 1,521.37, 2,281.78 and 547.35

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Solution

The fourth proportional to 1,521.37, 2,281.78 and 547.35 is: 820.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,521.37 : 2,281.78 = 547.35 : x
  2. Step 2: Convert to fraction form
    1,521.37/2,281.78 = 547.35/x
  3. Step 3: Cross multiply
    1,521.37x = 2,281.78 × 547.35
  4. Step 4: Simplify right side
    1,521.37x = 1,248,932.28
  5. Step 5: Solve for x
    x = 1,248,932.28/1,521.37
  6. Step 6: Final answer
    x = 820.93

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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.