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Finding the Fourth Proportional to 2,140.42, 2,953.38 and 1,354.72

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Solution

The fourth proportional to 2,140.42, 2,953.38 and 1,354.72 is: 1,869.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,140.42 : 2,953.38 = 1,354.72 : x
  2. Step 2: Convert to fraction form
    2,140.42/2,953.38 = 1,354.72/x
  3. Step 3: Cross multiply
    2,140.42x = 2,953.38 × 1,354.72
  4. Step 4: Simplify right side
    2,140.42x = 4,001,002.95
  5. Step 5: Solve for x
    x = 4,001,002.95/2,140.42
  6. Step 6: Final answer
    x = 1,869.26

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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.