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Finding the Fourth Proportional to 1,531.78, 2,101.14 and 1,518.65

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Solution

The fourth proportional to 1,531.78, 2,101.14 and 1,518.65 is: 2,083.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,531.78 : 2,101.14 = 1,518.65 : x
  2. Step 2: Convert to fraction form
    1,531.78/2,101.14 = 1,518.65/x
  3. Step 3: Cross multiply
    1,531.78x = 2,101.14 × 1,518.65
  4. Step 4: Simplify right side
    1,531.78x = 3,190,893.63
  5. Step 5: Solve for x
    x = 3,190,893.63/1,531.78
  6. Step 6: Final answer
    x = 2,083.13

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.