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Finding the Fourth Proportional to 2,154.69, 3,232.04 and 1,058.76

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Solution

The fourth proportional to 2,154.69, 3,232.04 and 1,058.76 is: 1,588.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,154.69 : 3,232.04 = 1,058.76 : x
  2. Step 2: Convert to fraction form
    2,154.69/3,232.04 = 1,058.76/x
  3. Step 3: Cross multiply
    2,154.69x = 3,232.04 × 1,058.76
  4. Step 4: Simplify right side
    2,154.69x = 3,421,949.38
  5. Step 5: Solve for x
    x = 3,421,949.38/2,154.69
  6. Step 6: Final answer
    x = 1,588.14

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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.