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Finding the Fourth Proportional to 1,237.88, 1,855.10 and 962.72

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Solution

The fourth proportional to 1,237.88, 1,855.10 and 962.72 is: 1,442.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,237.88 : 1,855.10 = 962.72 : x
  2. Step 2: Convert to fraction form
    1,237.88/1,855.10 = 962.72/x
  3. Step 3: Cross multiply
    1,237.88x = 1,855.10 × 962.72
  4. Step 4: Simplify right side
    1,237.88x = 1,785,941.87
  5. Step 5: Solve for x
    x = 1,785,941.87/1,237.88
  6. Step 6: Final answer
    x = 1,442.74

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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.