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Finding the Fourth Proportional to 2,264.59, 3,126.23 and 1,425.70

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Solution

The fourth proportional to 2,264.59, 3,126.23 and 1,425.70 is: 1,968.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,264.59 : 3,126.23 = 1,425.70 : x
  2. Step 2: Convert to fraction form
    2,264.59/3,126.23 = 1,425.70/x
  3. Step 3: Cross multiply
    2,264.59x = 3,126.23 × 1,425.70
  4. Step 4: Simplify right side
    2,264.59x = 4,457,066.11
  5. Step 5: Solve for x
    x = 4,457,066.11/2,264.59
  6. Step 6: Final answer
    x = 1,968.16

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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.