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Finding the Fourth Proportional to 2,895.40, 4,343.03 and 704.14

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Solution

The fourth proportional to 2,895.40, 4,343.03 and 704.14 is: 1,056.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,895.40 : 4,343.03 = 704.14 : x
  2. Step 2: Convert to fraction form
    2,895.40/4,343.03 = 704.14/x
  3. Step 3: Cross multiply
    2,895.40x = 4,343.03 × 704.14
  4. Step 4: Simplify right side
    2,895.40x = 3,058,081.19
  5. Step 5: Solve for x
    x = 3,058,081.19/2,895.40
  6. Step 6: Final answer
    x = 1,056.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.