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Finding the Fourth Proportional to 2,509.90, 3,765.05 and 778.52

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Solution

The fourth proportional to 2,509.90, 3,765.05 and 778.52 is: 1,167.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,509.90 : 3,765.05 = 778.52 : x
  2. Step 2: Convert to fraction form
    2,509.90/3,765.05 = 778.52/x
  3. Step 3: Cross multiply
    2,509.90x = 3,765.05 × 778.52
  4. Step 4: Simplify right side
    2,509.90x = 2,931,162.83
  5. Step 5: Solve for x
    x = 2,931,162.83/2,509.90
  6. Step 6: Final answer
    x = 1,167.84

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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.