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Finding the Fourth Proportional to 2,870.96, 3,962.25 and 1,692

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Solution

The fourth proportional to 2,870.96, 3,962.25 and 1,692 is: 2,335.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,870.96 : 3,962.25 = 1,692 : x
  2. Step 2: Convert to fraction form
    2,870.96/3,962.25 = 1,692/x
  3. Step 3: Cross multiply
    2,870.96x = 3,962.25 × 1,692
  4. Step 4: Simplify right side
    2,870.96x = 6,704,127
  5. Step 5: Solve for x
    x = 6,704,127/2,870.96
  6. Step 6: Final answer
    x = 2,335.16

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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.