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Finding the Fourth Proportional to 2,922.48, 4,384.62 and 1,048.38

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Solution

The fourth proportional to 2,922.48, 4,384.62 and 1,048.38 is: 1,572.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,922.48 : 4,384.62 = 1,048.38 : x
  2. Step 2: Convert to fraction form
    2,922.48/4,384.62 = 1,048.38/x
  3. Step 3: Cross multiply
    2,922.48x = 4,384.62 × 1,048.38
  4. Step 4: Simplify right side
    2,922.48x = 4,596,747.92
  5. Step 5: Solve for x
    x = 4,596,747.92/2,922.48
  6. Step 6: Final answer
    x = 1,572.89

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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.