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Finding the Fourth Proportional to 1,886.89, 2,603.81 and 1,047.49

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Solution

The fourth proportional to 1,886.89, 2,603.81 and 1,047.49 is: 1,445.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,886.89 : 2,603.81 = 1,047.49 : x
  2. Step 2: Convert to fraction form
    1,886.89/2,603.81 = 1,047.49/x
  3. Step 3: Cross multiply
    1,886.89x = 2,603.81 × 1,047.49
  4. Step 4: Simplify right side
    1,886.89x = 2,727,459.70
  5. Step 5: Solve for x
    x = 2,727,459.70/1,886.89
  6. Step 6: Final answer
    x = 1,445.48

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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.