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Finding the Fourth Proportional to 1,878.93, 2,818.67 and 580.50

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Solution

The fourth proportional to 1,878.93, 2,818.67 and 580.50 is: 870.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,878.93 : 2,818.67 = 580.50 : x
  2. Step 2: Convert to fraction form
    1,878.93/2,818.67 = 580.50/x
  3. Step 3: Cross multiply
    1,878.93x = 2,818.67 × 580.50
  4. Step 4: Simplify right side
    1,878.93x = 1,636,235.03
  5. Step 5: Solve for x
    x = 1,636,235.03/1,878.93
  6. Step 6: Final answer
    x = 870.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.