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Finding the Fourth Proportional to 3,053.76, 4,580.60 and 745.28

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Solution

The fourth proportional to 3,053.76, 4,580.60 and 745.28 is: 1,117.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,053.76 : 4,580.60 = 745.28 : x
  2. Step 2: Convert to fraction form
    3,053.76/4,580.60 = 745.28/x
  3. Step 3: Cross multiply
    3,053.76x = 4,580.60 × 745.28
  4. Step 4: Simplify right side
    3,053.76x = 3,413,829.57
  5. Step 5: Solve for x
    x = 3,413,829.57/3,053.76
  6. Step 6: Final answer
    x = 1,117.91

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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.