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Finding the Fourth Proportional to 2,860.92, 4,292.82 and 1,323

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Solution

The fourth proportional to 2,860.92, 4,292.82 and 1,323 is: 1,985.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,860.92 : 4,292.82 = 1,323 : x
  2. Step 2: Convert to fraction form
    2,860.92/4,292.82 = 1,323/x
  3. Step 3: Cross multiply
    2,860.92x = 4,292.82 × 1,323
  4. Step 4: Simplify right side
    2,860.92x = 5,679,400.86
  5. Step 5: Solve for x
    x = 5,679,400.86/2,860.92
  6. Step 6: Final answer
    x = 1,985.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.