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Finding the Fourth Proportional to 2,384.79, 3,290.04 and 1,488

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Solution

The fourth proportional to 2,384.79, 3,290.04 and 1,488 is: 2,052.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,384.79 : 3,290.04 = 1,488 : x
  2. Step 2: Convert to fraction form
    2,384.79/3,290.04 = 1,488/x
  3. Step 3: Cross multiply
    2,384.79x = 3,290.04 × 1,488
  4. Step 4: Simplify right side
    2,384.79x = 4,895,579.52
  5. Step 5: Solve for x
    x = 4,895,579.52/2,384.79
  6. Step 6: Final answer
    x = 2,052.83

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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.