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Finding the Fourth Proportional to 1,667.95, 2,301.35 and 1,225.08

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Solution

The fourth proportional to 1,667.95, 2,301.35 and 1,225.08 is: 1,690.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,667.95 : 2,301.35 = 1,225.08 : x
  2. Step 2: Convert to fraction form
    1,667.95/2,301.35 = 1,225.08/x
  3. Step 3: Cross multiply
    1,667.95x = 2,301.35 × 1,225.08
  4. Step 4: Simplify right side
    1,667.95x = 2,819,331.73
  5. Step 5: Solve for x
    x = 2,819,331.73/1,667.95
  6. Step 6: Final answer
    x = 1,690.30

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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.