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Finding the Fourth Proportional to 2,266.61, 3,127.89 and 1,258.32

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Solution

The fourth proportional to 2,266.61, 3,127.89 and 1,258.32 is: 1,736.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,266.61 : 3,127.89 = 1,258.32 : x
  2. Step 2: Convert to fraction form
    2,266.61/3,127.89 = 1,258.32/x
  3. Step 3: Cross multiply
    2,266.61x = 3,127.89 × 1,258.32
  4. Step 4: Simplify right side
    2,266.61x = 3,935,875.26
  5. Step 5: Solve for x
    x = 3,935,875.26/2,266.61
  6. Step 6: Final answer
    x = 1,736.46

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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.