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Finding the Fourth Proportional to 2,895.57, 4,340.93 and 946.71

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Solution

The fourth proportional to 2,895.57, 4,340.93 and 946.71 is: 1,419.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,895.57 : 4,340.93 = 946.71 : x
  2. Step 2: Convert to fraction form
    2,895.57/4,340.93 = 946.71/x
  3. Step 3: Cross multiply
    2,895.57x = 4,340.93 × 946.71
  4. Step 4: Simplify right side
    2,895.57x = 4,109,597.11
  5. Step 5: Solve for x
    x = 4,109,597.11/2,895.57
  6. Step 6: Final answer
    x = 1,419.27

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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.