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Finding the Fourth Proportional to 1,667.58, 2,501.16 and 434.88

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Solution

The fourth proportional to 1,667.58, 2,501.16 and 434.88 is: 652.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,667.58 : 2,501.16 = 434.88 : x
  2. Step 2: Convert to fraction form
    1,667.58/2,501.16 = 434.88/x
  3. Step 3: Cross multiply
    1,667.58x = 2,501.16 × 434.88
  4. Step 4: Simplify right side
    1,667.58x = 1,087,704.46
  5. Step 5: Solve for x
    x = 1,087,704.46/1,667.58
  6. Step 6: Final answer
    x = 652.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.