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Finding the Fourth Proportional to 2,830, 4,242.06 and 1,187.56

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Solution

The fourth proportional to 2,830, 4,242.06 and 1,187.56 is: 1,780.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,830 : 4,242.06 = 1,187.56 : x
  2. Step 2: Convert to fraction form
    2,830/4,242.06 = 1,187.56/x
  3. Step 3: Cross multiply
    2,830x = 4,242.06 × 1,187.56
  4. Step 4: Simplify right side
    2,830x = 5,037,700.77
  5. Step 5: Solve for x
    x = 5,037,700.77/2,830
  6. Step 6: Final answer
    x = 1,780.11

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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.