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Finding the Fourth Proportional to 2,155.69, 3,232.23 and 1,058.68

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Solution

The fourth proportional to 2,155.69, 3,232.23 and 1,058.68 is: 1,587.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,155.69 : 3,232.23 = 1,058.68 : x
  2. Step 2: Convert to fraction form
    2,155.69/3,232.23 = 1,058.68/x
  3. Step 3: Cross multiply
    2,155.69x = 3,232.23 × 1,058.68
  4. Step 4: Simplify right side
    2,155.69x = 3,421,897.26
  5. Step 5: Solve for x
    x = 3,421,897.26/2,155.69
  6. Step 6: Final answer
    x = 1,587.38

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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.