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Finding the Fourth Proportional to 3,048.68, 4,565.64 and 1,746.20

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Solution

The fourth proportional to 3,048.68, 4,565.64 and 1,746.20 is: 2,615.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,048.68 : 4,565.64 = 1,746.20 : x
  2. Step 2: Convert to fraction form
    3,048.68/4,565.64 = 1,746.20/x
  3. Step 3: Cross multiply
    3,048.68x = 4,565.64 × 1,746.20
  4. Step 4: Simplify right side
    3,048.68x = 7,972,520.57
  5. Step 5: Solve for x
    x = 7,972,520.57/3,048.68
  6. Step 6: Final answer
    x = 2,615.07

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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.