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Finding the Fourth Proportional to 2,925.76, 4,037.43 and 1,747.48

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Solution

The fourth proportional to 2,925.76, 4,037.43 and 1,747.48 is: 2,411.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,925.76 : 4,037.43 = 1,747.48 : x
  2. Step 2: Convert to fraction form
    2,925.76/4,037.43 = 1,747.48/x
  3. Step 3: Cross multiply
    2,925.76x = 4,037.43 × 1,747.48
  4. Step 4: Simplify right side
    2,925.76x = 7,055,328.18
  5. Step 5: Solve for x
    x = 7,055,328.18/2,925.76
  6. Step 6: Final answer
    x = 2,411.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.