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Finding the Fourth Proportional to 2,427.77, 3,641.76 and 784.15

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Solution

The fourth proportional to 2,427.77, 3,641.76 and 784.15 is: 1,176.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,427.77 : 3,641.76 = 784.15 : x
  2. Step 2: Convert to fraction form
    2,427.77/3,641.76 = 784.15/x
  3. Step 3: Cross multiply
    2,427.77x = 3,641.76 × 784.15
  4. Step 4: Simplify right side
    2,427.77x = 2,855,677.00
  5. Step 5: Solve for x
    x = 2,855,677.00/2,427.77
  6. Step 6: Final answer
    x = 1,176.25

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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.