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Finding the Fourth Proportional to 3,149.01, 4,725.27 and 1,417.50

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Solution

The fourth proportional to 3,149.01, 4,725.27 and 1,417.50 is: 2,127.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,149.01 : 4,725.27 = 1,417.50 : x
  2. Step 2: Convert to fraction form
    3,149.01/4,725.27 = 1,417.50/x
  3. Step 3: Cross multiply
    3,149.01x = 4,725.27 × 1,417.50
  4. Step 4: Simplify right side
    3,149.01x = 6,698,070.23
  5. Step 5: Solve for x
    x = 6,698,070.23/3,149.01
  6. Step 6: Final answer
    x = 2,127.04

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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.