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Finding the Fourth Proportional to 2,642.19, 3,956.99 and 1,585.05

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Solution

The fourth proportional to 2,642.19, 3,956.99 and 1,585.05 is: 2,373.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,642.19 : 3,956.99 = 1,585.05 : x
  2. Step 2: Convert to fraction form
    2,642.19/3,956.99 = 1,585.05/x
  3. Step 3: Cross multiply
    2,642.19x = 3,956.99 × 1,585.05
  4. Step 4: Simplify right side
    2,642.19x = 6,272,019.07
  5. Step 5: Solve for x
    x = 6,272,019.07/2,642.19
  6. Step 6: Final answer
    x = 2,373.80

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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.