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Finding the Fourth Proportional to 2,925.45, 4,388.04 and 734.13

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Solution

The fourth proportional to 2,925.45, 4,388.04 and 734.13 is: 1,101.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,925.45 : 4,388.04 = 734.13 : x
  2. Step 2: Convert to fraction form
    2,925.45/4,388.04 = 734.13/x
  3. Step 3: Cross multiply
    2,925.45x = 4,388.04 × 734.13
  4. Step 4: Simplify right side
    2,925.45x = 3,221,391.81
  5. Step 5: Solve for x
    x = 3,221,391.81/2,925.45
  6. Step 6: Final answer
    x = 1,101.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.