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Finding the Fourth Proportional to 1,877.36, 2,814.51 and 782.55

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Solution

The fourth proportional to 1,877.36, 2,814.51 and 782.55 is: 1,173.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,877.36 : 2,814.51 = 782.55 : x
  2. Step 2: Convert to fraction form
    1,877.36/2,814.51 = 782.55/x
  3. Step 3: Cross multiply
    1,877.36x = 2,814.51 × 782.55
  4. Step 4: Simplify right side
    1,877.36x = 2,202,494.80
  5. Step 5: Solve for x
    x = 2,202,494.80/1,877.36
  6. Step 6: Final answer
    x = 1,173.19

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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.