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Finding the Fourth Proportional to 1,655.10, 2,477.85 and 1,568.70

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Solution

The fourth proportional to 1,655.10, 2,477.85 and 1,568.70 is: 2,348.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,655.10 : 2,477.85 = 1,568.70 : x
  2. Step 2: Convert to fraction form
    1,655.10/2,477.85 = 1,568.70/x
  3. Step 3: Cross multiply
    1,655.10x = 2,477.85 × 1,568.70
  4. Step 4: Simplify right side
    1,655.10x = 3,887,003.30
  5. Step 5: Solve for x
    x = 3,887,003.30/1,655.10
  6. Step 6: Final answer
    x = 2,348.50

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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.