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Finding the Fourth Proportional to 1,501.78, 2,252.37 and 514.52

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Solution

The fourth proportional to 1,501.78, 2,252.37 and 514.52 is: 771.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,501.78 : 2,252.37 = 514.52 : x
  2. Step 2: Convert to fraction form
    1,501.78/2,252.37 = 514.52/x
  3. Step 3: Cross multiply
    1,501.78x = 2,252.37 × 514.52
  4. Step 4: Simplify right side
    1,501.78x = 1,158,889.41
  5. Step 5: Solve for x
    x = 1,158,889.41/1,501.78
  6. Step 6: Final answer
    x = 771.68

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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.