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Finding the Fourth Proportional to 1,359.17, 2,040 and 840.18

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Solution

The fourth proportional to 1,359.17, 2,040 and 840.18 is: 1,261.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,359.17 : 2,040 = 840.18 : x
  2. Step 2: Convert to fraction form
    1,359.17/2,040 = 840.18/x
  3. Step 3: Cross multiply
    1,359.17x = 2,040 × 840.18
  4. Step 4: Simplify right side
    1,359.17x = 1,713,967.20
  5. Step 5: Solve for x
    x = 1,713,967.20/1,359.17
  6. Step 6: Final answer
    x = 1,261.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.