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Finding the Fourth Proportional to 2,384.96, 3,289.88 and 1,390.13

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Solution

The fourth proportional to 2,384.96, 3,289.88 and 1,390.13 is: 1,917.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,384.96 : 3,289.88 = 1,390.13 : x
  2. Step 2: Convert to fraction form
    2,384.96/3,289.88 = 1,390.13/x
  3. Step 3: Cross multiply
    2,384.96x = 3,289.88 × 1,390.13
  4. Step 4: Simplify right side
    2,384.96x = 4,573,337.48
  5. Step 5: Solve for x
    x = 4,573,337.48/2,384.96
  6. Step 6: Final answer
    x = 1,917.58

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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.