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Finding the Fourth Proportional to 1,871.48, 2,584.50 and 1,541

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Solution

The fourth proportional to 1,871.48, 2,584.50 and 1,541 is: 2,128.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,871.48 : 2,584.50 = 1,541 : x
  2. Step 2: Convert to fraction form
    1,871.48/2,584.50 = 1,541/x
  3. Step 3: Cross multiply
    1,871.48x = 2,584.50 × 1,541
  4. Step 4: Simplify right side
    1,871.48x = 3,982,714.50
  5. Step 5: Solve for x
    x = 3,982,714.50/1,871.48
  6. Step 6: Final answer
    x = 2,128.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.