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Finding the Fourth Proportional to 3,348.68, 5,019.66 and 1,157

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Solution

The fourth proportional to 3,348.68, 5,019.66 and 1,157 is: 1,734.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,348.68 : 5,019.66 = 1,157 : x
  2. Step 2: Convert to fraction form
    3,348.68/5,019.66 = 1,157/x
  3. Step 3: Cross multiply
    3,348.68x = 5,019.66 × 1,157
  4. Step 4: Simplify right side
    3,348.68x = 5,807,746.62
  5. Step 5: Solve for x
    x = 5,807,746.62/3,348.68
  6. Step 6: Final answer
    x = 1,734.34

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1.5x scale

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.