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Finding the Fourth Proportional to 1,876.48, 2,814.08 and 1,011.20

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Solution

The fourth proportional to 1,876.48, 2,814.08 and 1,011.20 is: 1,516.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,876.48 : 2,814.08 = 1,011.20 : x
  2. Step 2: Convert to fraction form
    1,876.48/2,814.08 = 1,011.20/x
  3. Step 3: Cross multiply
    1,876.48x = 2,814.08 × 1,011.20
  4. Step 4: Simplify right side
    1,876.48x = 2,845,597.70
  5. Step 5: Solve for x
    x = 2,845,597.70/1,876.48
  6. Step 6: Final answer
    x = 1,516.46

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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.