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Finding the Fourth Proportional to 1,655.51, 2,284.81 and 956.75

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Solution

The fourth proportional to 1,655.51, 2,284.81 and 956.75 is: 1,320.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,655.51 : 2,284.81 = 956.75 : x
  2. Step 2: Convert to fraction form
    1,655.51/2,284.81 = 956.75/x
  3. Step 3: Cross multiply
    1,655.51x = 2,284.81 × 956.75
  4. Step 4: Simplify right side
    1,655.51x = 2,185,978.15
  5. Step 5: Solve for x
    x = 2,185,978.15/1,655.51
  6. Step 6: Final answer
    x = 1,320.43

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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.