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Finding the Fourth Proportional to 2,967.65, 4,446.53 and 2,088.59

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Solution

The fourth proportional to 2,967.65, 4,446.53 and 2,088.59 is: 3,129.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,967.65 : 4,446.53 = 2,088.59 : x
  2. Step 2: Convert to fraction form
    2,967.65/4,446.53 = 2,088.59/x
  3. Step 3: Cross multiply
    2,967.65x = 4,446.53 × 2,088.59
  4. Step 4: Simplify right side
    2,967.65x = 9,286,953.25
  5. Step 5: Solve for x
    x = 9,286,953.25/2,967.65
  6. Step 6: Final answer
    x = 3,129.40

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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.