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Finding the Fourth Proportional to 1,667.61, 2,300.26 and 1,046.97

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Solution

The fourth proportional to 1,667.61, 2,300.26 and 1,046.97 is: 1,444.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,667.61 : 2,300.26 = 1,046.97 : x
  2. Step 2: Convert to fraction form
    1,667.61/2,300.26 = 1,046.97/x
  3. Step 3: Cross multiply
    1,667.61x = 2,300.26 × 1,046.97
  4. Step 4: Simplify right side
    1,667.61x = 2,408,303.21
  5. Step 5: Solve for x
    x = 2,408,303.21/1,667.61
  6. Step 6: Final answer
    x = 1,444.16

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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.