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Finding the Fourth Proportional to 1,587.83, 2,191.35 and 958.67

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Solution

The fourth proportional to 1,587.83, 2,191.35 and 958.67 is: 1,323.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,587.83 : 2,191.35 = 958.67 : x
  2. Step 2: Convert to fraction form
    1,587.83/2,191.35 = 958.67/x
  3. Step 3: Cross multiply
    1,587.83x = 2,191.35 × 958.67
  4. Step 4: Simplify right side
    1,587.83x = 2,100,781.50
  5. Step 5: Solve for x
    x = 2,100,781.50/1,587.83
  6. Step 6: Final answer
    x = 1,323.05

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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.