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Finding the Fourth Proportional to 2,264.58, 3,395.52 and 704.16

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Solution

The fourth proportional to 2,264.58, 3,395.52 and 704.16 is: 1,055.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,264.58 : 3,395.52 = 704.16 : x
  2. Step 2: Convert to fraction form
    2,264.58/3,395.52 = 704.16/x
  3. Step 3: Cross multiply
    2,264.58x = 3,395.52 × 704.16
  4. Step 4: Simplify right side
    2,264.58x = 2,390,989.36
  5. Step 5: Solve for x
    x = 2,390,989.36/2,264.58
  6. Step 6: Final answer
    x = 1,055.82

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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.