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Finding the Fourth Proportional to 3,048.84, 4,205.30 and 1,870.52

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Solution

The fourth proportional to 3,048.84, 4,205.30 and 1,870.52 is: 2,580.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,048.84 : 4,205.30 = 1,870.52 : x
  2. Step 2: Convert to fraction form
    3,048.84/4,205.30 = 1,870.52/x
  3. Step 3: Cross multiply
    3,048.84x = 4,205.30 × 1,870.52
  4. Step 4: Simplify right side
    3,048.84x = 7,866,067.38
  5. Step 5: Solve for x
    x = 7,866,067.38/3,048.84
  6. Step 6: Final answer
    x = 2,580.02

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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.