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Finding the Fourth Proportional to 1,518.69, 2,096.10 and 987.57

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Solution

The fourth proportional to 1,518.69, 2,096.10 and 987.57 is: 1,363.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,518.69 : 2,096.10 = 987.57 : x
  2. Step 2: Convert to fraction form
    1,518.69/2,096.10 = 987.57/x
  3. Step 3: Cross multiply
    1,518.69x = 2,096.10 × 987.57
  4. Step 4: Simplify right side
    1,518.69x = 2,070,045.48
  5. Step 5: Solve for x
    x = 2,070,045.48/1,518.69
  6. Step 6: Final answer
    x = 1,363.05

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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.