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Finding the Fourth Proportional to 2,894.02, 4,341.60 and 945.70

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Solution

The fourth proportional to 2,894.02, 4,341.60 and 945.70 is: 1,418.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,894.02 : 4,341.60 = 945.70 : x
  2. Step 2: Convert to fraction form
    2,894.02/4,341.60 = 945.70/x
  3. Step 3: Cross multiply
    2,894.02x = 4,341.60 × 945.70
  4. Step 4: Simplify right side
    2,894.02x = 4,105,851.12
  5. Step 5: Solve for x
    x = 4,105,851.12/2,894.02
  6. Step 6: Final answer
    x = 1,418.74

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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.