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Finding the Fourth Proportional to 1,876.47, 2,801.30 and 1,630.50

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Solution

The fourth proportional to 1,876.47, 2,801.30 and 1,630.50 is: 2,434.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,876.47 : 2,801.30 = 1,630.50 : x
  2. Step 2: Convert to fraction form
    1,876.47/2,801.30 = 1,630.50/x
  3. Step 3: Cross multiply
    1,876.47x = 2,801.30 × 1,630.50
  4. Step 4: Simplify right side
    1,876.47x = 4,567,519.65
  5. Step 5: Solve for x
    x = 4,567,519.65/1,876.47
  6. Step 6: Final answer
    x = 2,434.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.