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Finding the Fourth Proportional to 2,897.35, 4,347.86 and 1,667.17

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Solution

The fourth proportional to 2,897.35, 4,347.86 and 1,667.17 is: 2,501.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,897.35 : 4,347.86 = 1,667.17 : x
  2. Step 2: Convert to fraction form
    2,897.35/4,347.86 = 1,667.17/x
  3. Step 3: Cross multiply
    2,897.35x = 4,347.86 × 1,667.17
  4. Step 4: Simplify right side
    2,897.35x = 7,248,621.76
  5. Step 5: Solve for x
    x = 7,248,621.76/2,897.35
  6. Step 6: Final answer
    x = 2,501.81

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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.