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Finding the Fourth Proportional to 2,925.33, 4,388.61 and 977.69

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Solution

The fourth proportional to 2,925.33, 4,388.61 and 977.69 is: 1,466.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,925.33 : 4,388.61 = 977.69 : x
  2. Step 2: Convert to fraction form
    2,925.33/4,388.61 = 977.69/x
  3. Step 3: Cross multiply
    2,925.33x = 4,388.61 × 977.69
  4. Step 4: Simplify right side
    2,925.33x = 4,290,678.17
  5. Step 5: Solve for x
    x = 4,290,678.17/2,925.33
  6. Step 6: Final answer
    x = 1,466.73

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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.