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Finding the Fourth Proportional to 1,878.56, 2,818.10 and 580.13

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Solution

The fourth proportional to 1,878.56, 2,818.10 and 580.13 is: 870.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,878.56 : 2,818.10 = 580.13 : x
  2. Step 2: Convert to fraction form
    1,878.56/2,818.10 = 580.13/x
  3. Step 3: Cross multiply
    1,878.56x = 2,818.10 × 580.13
  4. Step 4: Simplify right side
    1,878.56x = 1,634,851.71
  5. Step 5: Solve for x
    x = 1,634,851.71/1,878.56
  6. Step 6: Final answer
    x = 870.27

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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.