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Finding the Fourth Proportional to 1,886.27, 2,603.08 and 1,047.01

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Solution

The fourth proportional to 1,886.27, 2,603.08 and 1,047.01 is: 1,444.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,886.27 : 2,603.08 = 1,047.01 : x
  2. Step 2: Convert to fraction form
    1,886.27/2,603.08 = 1,047.01/x
  3. Step 3: Cross multiply
    1,886.27x = 2,603.08 × 1,047.01
  4. Step 4: Simplify right side
    1,886.27x = 2,725,450.79
  5. Step 5: Solve for x
    x = 2,725,450.79/1,886.27
  6. Step 6: Final answer
    x = 1,444.89

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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.