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Finding the Fourth Proportional to 1,913.76, 2,870.62 and 759.50

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Solution

The fourth proportional to 1,913.76, 2,870.62 and 759.50 is: 1,139.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,913.76 : 2,870.62 = 759.50 : x
  2. Step 2: Convert to fraction form
    1,913.76/2,870.62 = 759.50/x
  3. Step 3: Cross multiply
    1,913.76x = 2,870.62 × 759.50
  4. Step 4: Simplify right side
    1,913.76x = 2,180,235.89
  5. Step 5: Solve for x
    x = 2,180,235.89/1,913.76
  6. Step 6: Final answer
    x = 1,139.24

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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.