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Finding the Fourth Proportional to 1,885.49, 2,602.06 and 1,177.75

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Solution

The fourth proportional to 1,885.49, 2,602.06 and 1,177.75 is: 1,625.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,885.49 : 2,602.06 = 1,177.75 : x
  2. Step 2: Convert to fraction form
    1,885.49/2,602.06 = 1,177.75/x
  3. Step 3: Cross multiply
    1,885.49x = 2,602.06 × 1,177.75
  4. Step 4: Simplify right side
    1,885.49x = 3,064,576.17
  5. Step 5: Solve for x
    x = 3,064,576.17/1,885.49
  6. Step 6: Final answer
    x = 1,625.35

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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.