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Finding the Fourth Proportional to 1,948.36, 2,920.36 and 1,024.02

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Solution

The fourth proportional to 1,948.36, 2,920.36 and 1,024.02 is: 1,534.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,948.36 : 2,920.36 = 1,024.02 : x
  2. Step 2: Convert to fraction form
    1,948.36/2,920.36 = 1,024.02/x
  3. Step 3: Cross multiply
    1,948.36x = 2,920.36 × 1,024.02
  4. Step 4: Simplify right side
    1,948.36x = 2,990,507.05
  5. Step 5: Solve for x
    x = 2,990,507.05/1,948.36
  6. Step 6: Final answer
    x = 1,534.88

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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.