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Finding the Fourth Proportional to 2,475.89, 3,713.51 and 894.45

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Solution

The fourth proportional to 2,475.89, 3,713.51 and 894.45 is: 1,341.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,475.89 : 3,713.51 = 894.45 : x
  2. Step 2: Convert to fraction form
    2,475.89/3,713.51 = 894.45/x
  3. Step 3: Cross multiply
    2,475.89x = 3,713.51 × 894.45
  4. Step 4: Simplify right side
    2,475.89x = 3,321,554.74
  5. Step 5: Solve for x
    x = 3,321,554.74/2,475.89
  6. Step 6: Final answer
    x = 1,341.56

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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.