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Finding the Fourth Proportional to 1,758, 2,426.28 and 1,292.88

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Solution

The fourth proportional to 1,758, 2,426.28 and 1,292.88 is: 1,784.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,758 : 2,426.28 = 1,292.88 : x
  2. Step 2: Convert to fraction form
    1,758/2,426.28 = 1,292.88/x
  3. Step 3: Cross multiply
    1,758x = 2,426.28 × 1,292.88
  4. Step 4: Simplify right side
    1,758x = 3,136,888.89
  5. Step 5: Solve for x
    x = 3,136,888.89/1,758
  6. Step 6: Final answer
    x = 1,784.35

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