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Finding the Fourth Proportional to 2,875.86, 4,314.06 and 1,121

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Solution

The fourth proportional to 2,875.86, 4,314.06 and 1,121 is: 1,681.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,875.86 : 4,314.06 = 1,121 : x
  2. Step 2: Convert to fraction form
    2,875.86/4,314.06 = 1,121/x
  3. Step 3: Cross multiply
    2,875.86x = 4,314.06 × 1,121
  4. Step 4: Simplify right side
    2,875.86x = 4,836,061.26
  5. Step 5: Solve for x
    x = 4,836,061.26/2,875.86
  6. Step 6: Final answer
    x = 1,681.61

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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.