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Finding the Fourth Proportional to 1,886.43, 2,603.16 and 1,047.08

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Solution

The fourth proportional to 1,886.43, 2,603.16 and 1,047.08 is: 1,444.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,886.43 : 2,603.16 = 1,047.08 : x
  2. Step 2: Convert to fraction form
    1,886.43/2,603.16 = 1,047.08/x
  3. Step 3: Cross multiply
    1,886.43x = 2,603.16 × 1,047.08
  4. Step 4: Simplify right side
    1,886.43x = 2,725,721.43
  5. Step 5: Solve for x
    x = 2,725,721.43/1,886.43
  6. Step 6: Final answer
    x = 1,444.91

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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.