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Finding the Fourth Proportional to 1,316.71, 1,974.90 and 1,024.50

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Solution

The fourth proportional to 1,316.71, 1,974.90 and 1,024.50 is: 1,536.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,316.71 : 1,974.90 = 1,024.50 : x
  2. Step 2: Convert to fraction form
    1,316.71/1,974.90 = 1,024.50/x
  3. Step 3: Cross multiply
    1,316.71x = 1,974.90 × 1,024.50
  4. Step 4: Simplify right side
    1,316.71x = 2,023,285.05
  5. Step 5: Solve for x
    x = 2,023,285.05/1,316.71
  6. Step 6: Final answer
    x = 1,536.63

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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.