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Finding the Fourth Proportional to 3,135.57, 4,703.52 and 1,655.70

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Solution

The fourth proportional to 3,135.57, 4,703.52 and 1,655.70 is: 2,483.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,135.57 : 4,703.52 = 1,655.70 : x
  2. Step 2: Convert to fraction form
    3,135.57/4,703.52 = 1,655.70/x
  3. Step 3: Cross multiply
    3,135.57x = 4,703.52 × 1,655.70
  4. Step 4: Simplify right side
    3,135.57x = 7,787,618.06
  5. Step 5: Solve for x
    x = 7,787,618.06/3,135.57
  6. Step 6: Final answer
    x = 2,483.64

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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.