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Finding the Fourth Proportional to 1,437.90, 1,985.25 and 1,105.74

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Solution

The fourth proportional to 1,437.90, 1,985.25 and 1,105.74 is: 1,526.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,437.90 : 1,985.25 = 1,105.74 : x
  2. Step 2: Convert to fraction form
    1,437.90/1,985.25 = 1,105.74/x
  3. Step 3: Cross multiply
    1,437.90x = 1,985.25 × 1,105.74
  4. Step 4: Simplify right side
    1,437.90x = 2,195,170.34
  5. Step 5: Solve for x
    x = 2,195,170.34/1,437.90
  6. Step 6: Final answer
    x = 1,526.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.