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Finding the Fourth Proportional to 3,130.67, 4,319.06 and 1,803.66

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Solution

The fourth proportional to 3,130.67, 4,319.06 and 1,803.66 is: 2,488.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,130.67 : 4,319.06 = 1,803.66 : x
  2. Step 2: Convert to fraction form
    3,130.67/4,319.06 = 1,803.66/x
  3. Step 3: Cross multiply
    3,130.67x = 4,319.06 × 1,803.66
  4. Step 4: Simplify right side
    3,130.67x = 7,790,106.74
  5. Step 5: Solve for x
    x = 7,790,106.74/3,130.67
  6. Step 6: Final answer
    x = 2,488.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.