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Finding the Fourth Proportional to 1,656.81, 2,284.74 and 1,283.13

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Solution

The fourth proportional to 1,656.81, 2,284.74 and 1,283.13 is: 1,769.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,656.81 : 2,284.74 = 1,283.13 : x
  2. Step 2: Convert to fraction form
    1,656.81/2,284.74 = 1,283.13/x
  3. Step 3: Cross multiply
    1,656.81x = 2,284.74 × 1,283.13
  4. Step 4: Simplify right side
    1,656.81x = 2,931,618.44
  5. Step 5: Solve for x
    x = 2,931,618.44/1,656.81
  6. Step 6: Final answer
    x = 1,769.44

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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.