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Finding the Fourth Proportional to 2,360.52, 3,539.46 and 2,094.06

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Solution

The fourth proportional to 2,360.52, 3,539.46 and 2,094.06 is: 3,139.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,360.52 : 3,539.46 = 2,094.06 : x
  2. Step 2: Convert to fraction form
    2,360.52/3,539.46 = 2,094.06/x
  3. Step 3: Cross multiply
    2,360.52x = 3,539.46 × 2,094.06
  4. Step 4: Simplify right side
    2,360.52x = 7,411,841.61
  5. Step 5: Solve for x
    x = 7,411,841.61/2,360.52
  6. Step 6: Final answer
    x = 3,139.92

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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.