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Finding the Fourth Proportional to 2,894.04, 4,341.60 and 945.72

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Solution

The fourth proportional to 2,894.04, 4,341.60 and 945.72 is: 1,418.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,894.04 : 4,341.60 = 945.72 : x
  2. Step 2: Convert to fraction form
    2,894.04/4,341.60 = 945.72/x
  3. Step 3: Cross multiply
    2,894.04x = 4,341.60 × 945.72
  4. Step 4: Simplify right side
    2,894.04x = 4,105,937.95
  5. Step 5: Solve for x
    x = 4,105,937.95/2,894.04
  6. Step 6: Final answer
    x = 1,418.76

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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.