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Finding the Fourth Proportional to 1,551.32, 2,140.66 and 879.15

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Solution

The fourth proportional to 1,551.32, 2,140.66 and 879.15 is: 1,213.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,551.32 : 2,140.66 = 879.15 : x
  2. Step 2: Convert to fraction form
    1,551.32/2,140.66 = 879.15/x
  3. Step 3: Cross multiply
    1,551.32x = 2,140.66 × 879.15
  4. Step 4: Simplify right side
    1,551.32x = 1,881,959.04
  5. Step 5: Solve for x
    x = 1,881,959.04/1,551.32
  6. Step 6: Final answer
    x = 1,213.14

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Why These Related Problems?

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