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Finding the Fourth Proportional to 2,894.17, 4,334.93 and 1,780.19

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Solution

The fourth proportional to 2,894.17, 4,334.93 and 1,780.19 is: 2,666.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,894.17 : 4,334.93 = 1,780.19 : x
  2. Step 2: Convert to fraction form
    2,894.17/4,334.93 = 1,780.19/x
  3. Step 3: Cross multiply
    2,894.17x = 4,334.93 × 1,780.19
  4. Step 4: Simplify right side
    2,894.17x = 7,716,990.14
  5. Step 5: Solve for x
    x = 7,716,990.14/2,894.17
  6. Step 6: Final answer
    x = 2,666.40

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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.