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Finding the Fourth Proportional to 1,441.62, 1,988.70 and 1,109.93

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Solution

The fourth proportional to 1,441.62, 1,988.70 and 1,109.93 is: 1,531.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,441.62 : 1,988.70 = 1,109.93 : x
  2. Step 2: Convert to fraction form
    1,441.62/1,988.70 = 1,109.93/x
  3. Step 3: Cross multiply
    1,441.62x = 1,988.70 × 1,109.93
  4. Step 4: Simplify right side
    1,441.62x = 2,207,307.85
  5. Step 5: Solve for x
    x = 2,207,307.85/1,441.62
  6. Step 6: Final answer
    x = 1,531.13

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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.