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Finding the Fourth Proportional to 2,154.22, 2,972.84 and 1,407.72

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Solution

The fourth proportional to 2,154.22, 2,972.84 and 1,407.72 is: 1,942.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,154.22 : 2,972.84 = 1,407.72 : x
  2. Step 2: Convert to fraction form
    2,154.22/2,972.84 = 1,407.72/x
  3. Step 3: Cross multiply
    2,154.22x = 2,972.84 × 1,407.72
  4. Step 4: Simplify right side
    2,154.22x = 4,184,926.32
  5. Step 5: Solve for x
    x = 4,184,926.32/2,154.22
  6. Step 6: Final answer
    x = 1,942.66

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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.