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Finding the Fourth Proportional to 2,095.76, 2,890.06 and 1,780.68

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Solution

The fourth proportional to 2,095.76, 2,890.06 and 1,780.68 is: 2,455.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,095.76 : 2,890.06 = 1,780.68 : x
  2. Step 2: Convert to fraction form
    2,095.76/2,890.06 = 1,780.68/x
  3. Step 3: Cross multiply
    2,095.76x = 2,890.06 × 1,780.68
  4. Step 4: Simplify right side
    2,095.76x = 5,146,272.04
  5. Step 5: Solve for x
    x = 5,146,272.04/2,095.76
  6. Step 6: Final answer
    x = 2,455.56

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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.