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Finding the Fourth Proportional to 1,712.64, 2,564.91 and 1,344.90

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Solution

The fourth proportional to 1,712.64, 2,564.91 and 1,344.90 is: 2,014.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,712.64 : 2,564.91 = 1,344.90 : x
  2. Step 2: Convert to fraction form
    1,712.64/2,564.91 = 1,344.90/x
  3. Step 3: Cross multiply
    1,712.64x = 2,564.91 × 1,344.90
  4. Step 4: Simplify right side
    1,712.64x = 3,449,547.46
  5. Step 5: Solve for x
    x = 3,449,547.46/1,712.64
  6. Step 6: Final answer
    x = 2,014.17

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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.