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Finding the Fourth Proportional to 2,064.90, 3,094.53 and 877.95

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Solution

The fourth proportional to 2,064.90, 3,094.53 and 877.95 is: 1,315.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,064.90 : 3,094.53 = 877.95 : x
  2. Step 2: Convert to fraction form
    2,064.90/3,094.53 = 877.95/x
  3. Step 3: Cross multiply
    2,064.90x = 3,094.53 × 877.95
  4. Step 4: Simplify right side
    2,064.90x = 2,716,842.61
  5. Step 5: Solve for x
    x = 2,716,842.61/2,064.90
  6. Step 6: Final answer
    x = 1,315.73

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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.