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Finding the Fourth Proportional to 1,502.61, 2,254.36 and 624.95

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Solution

The fourth proportional to 1,502.61, 2,254.36 and 624.95 is: 937.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,502.61 : 2,254.36 = 624.95 : x
  2. Step 2: Convert to fraction form
    1,502.61/2,254.36 = 624.95/x
  3. Step 3: Cross multiply
    1,502.61x = 2,254.36 × 624.95
  4. Step 4: Simplify right side
    1,502.61x = 1,408,866.83
  5. Step 5: Solve for x
    x = 1,408,866.83/1,502.61
  6. Step 6: Final answer
    x = 937.61

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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.