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Finding the Fourth Proportional to 2,275.02, 3,145.16 and 2,254.26

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Solution

The fourth proportional to 2,275.02, 3,145.16 and 2,254.26 is: 3,116.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,275.02 : 3,145.16 = 2,254.26 : x
  2. Step 2: Convert to fraction form
    2,275.02/3,145.16 = 2,254.26/x
  3. Step 3: Cross multiply
    2,275.02x = 3,145.16 × 2,254.26
  4. Step 4: Simplify right side
    2,275.02x = 7,090,008.38
  5. Step 5: Solve for x
    x = 7,090,008.38/2,275.02
  6. Step 6: Final answer
    x = 3,116.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.