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Finding the Fourth Proportional to 1,948.86, 2,924.48 and 962.31

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Solution

The fourth proportional to 1,948.86, 2,924.48 and 962.31 is: 1,444.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,948.86 : 2,924.48 = 962.31 : x
  2. Step 2: Convert to fraction form
    1,948.86/2,924.48 = 962.31/x
  3. Step 3: Cross multiply
    1,948.86x = 2,924.48 × 962.31
  4. Step 4: Simplify right side
    1,948.86x = 2,814,242.34
  5. Step 5: Solve for x
    x = 2,814,242.34/1,948.86
  6. Step 6: Final answer
    x = 1,444.05

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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.