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Finding the Fourth Proportional to 1,300.30, 1,950.45 and 1,281.10

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Solution

The fourth proportional to 1,300.30, 1,950.45 and 1,281.10 is: 1,921.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,300.30 : 1,950.45 = 1,281.10 : x
  2. Step 2: Convert to fraction form
    1,300.30/1,950.45 = 1,281.10/x
  3. Step 3: Cross multiply
    1,300.30x = 1,950.45 × 1,281.10
  4. Step 4: Simplify right side
    1,300.30x = 2,498,721.50
  5. Step 5: Solve for x
    x = 2,498,721.50/1,300.30
  6. Step 6: Final answer
    x = 1,921.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.