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Finding the Fourth Proportional to 2,390.45, 3,578.70 and 1,776.87

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Solution

The fourth proportional to 2,390.45, 3,578.70 and 1,776.87 is: 2,660.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,390.45 : 3,578.70 = 1,776.87 : x
  2. Step 2: Convert to fraction form
    2,390.45/3,578.70 = 1,776.87/x
  3. Step 3: Cross multiply
    2,390.45x = 3,578.70 × 1,776.87
  4. Step 4: Simplify right side
    2,390.45x = 6,358,884.67
  5. Step 5: Solve for x
    x = 6,358,884.67/2,390.45
  6. Step 6: Final answer
    x = 2,660.13

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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.