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Finding the Fourth Proportional to 2,162.85, 2,985.47 and 1,344.93

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Solution

The fourth proportional to 2,162.85, 2,985.47 and 1,344.93 is: 1,856.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,162.85 : 2,985.47 = 1,344.93 : x
  2. Step 2: Convert to fraction form
    2,162.85/2,985.47 = 1,344.93/x
  3. Step 3: Cross multiply
    2,162.85x = 2,985.47 × 1,344.93
  4. Step 4: Simplify right side
    2,162.85x = 4,015,248.42
  5. Step 5: Solve for x
    x = 4,015,248.42/2,162.85
  6. Step 6: Final answer
    x = 1,856.46

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