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Finding the Fourth Proportional to 2,875.86, 4,306.92 and 1,776.89

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Solution

The fourth proportional to 2,875.86, 4,306.92 and 1,776.89 is: 2,661.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,875.86 : 4,306.92 = 1,776.89 : x
  2. Step 2: Convert to fraction form
    2,875.86/4,306.92 = 1,776.89/x
  3. Step 3: Cross multiply
    2,875.86x = 4,306.92 × 1,776.89
  4. Step 4: Simplify right side
    2,875.86x = 7,652,901.54
  5. Step 5: Solve for x
    x = 7,652,901.54/2,875.86
  6. Step 6: Final answer
    x = 2,661.08

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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.