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Finding the Fourth Proportional to 2,800.76, 4,200.68 and 1,045.31

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Solution

The fourth proportional to 2,800.76, 4,200.68 and 1,045.31 is: 1,567.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,800.76 : 4,200.68 = 1,045.31 : x
  2. Step 2: Convert to fraction form
    2,800.76/4,200.68 = 1,045.31/x
  3. Step 3: Cross multiply
    2,800.76x = 4,200.68 × 1,045.31
  4. Step 4: Simplify right side
    2,800.76x = 4,390,994.42
  5. Step 5: Solve for x
    x = 4,390,994.42/2,800.76
  6. Step 6: Final answer
    x = 1,567.79

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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.