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Finding the Fourth Proportional to 1,878.92, 2,818.80 and 580.40

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Solution

The fourth proportional to 1,878.92, 2,818.80 and 580.40 is: 870.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,878.92 : 2,818.80 = 580.40 : x
  2. Step 2: Convert to fraction form
    1,878.92/2,818.80 = 580.40/x
  3. Step 3: Cross multiply
    1,878.92x = 2,818.80 × 580.40
  4. Step 4: Simplify right side
    1,878.92x = 1,636,031.52
  5. Step 5: Solve for x
    x = 1,636,031.52/1,878.92
  6. Step 6: Final answer
    x = 870.73

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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.