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Finding the Fourth Proportional to 1,653.47, 2,279.40 and 1,259.81

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Solution

The fourth proportional to 1,653.47, 2,279.40 and 1,259.81 is: 1,736.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,653.47 : 2,279.40 = 1,259.81 : x
  2. Step 2: Convert to fraction form
    1,653.47/2,279.40 = 1,259.81/x
  3. Step 3: Cross multiply
    1,653.47x = 2,279.40 × 1,259.81
  4. Step 4: Simplify right side
    1,653.47x = 2,871,610.91
  5. Step 5: Solve for x
    x = 2,871,610.91/1,653.47
  6. Step 6: Final answer
    x = 1,736.72

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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.