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Finding the Fourth Proportional to 1,886.02, 2,829.30 and 731.50

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Solution

The fourth proportional to 1,886.02, 2,829.30 and 731.50 is: 1,097.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,886.02 : 2,829.30 = 731.50 : x
  2. Step 2: Convert to fraction form
    1,886.02/2,829.30 = 731.50/x
  3. Step 3: Cross multiply
    1,886.02x = 2,829.30 × 731.50
  4. Step 4: Simplify right side
    1,886.02x = 2,069,632.95
  5. Step 5: Solve for x
    x = 2,069,632.95/1,886.02
  6. Step 6: Final answer
    x = 1,097.35

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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.