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Finding the Fourth Proportional to 2,424.84, 3,346.99 and 1,585.68

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Solution

The fourth proportional to 2,424.84, 3,346.99 and 1,585.68 is: 2,188.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,424.84 : 3,346.99 = 1,585.68 : x
  2. Step 2: Convert to fraction form
    2,424.84/3,346.99 = 1,585.68/x
  3. Step 3: Cross multiply
    2,424.84x = 3,346.99 × 1,585.68
  4. Step 4: Simplify right side
    2,424.84x = 5,307,238.37
  5. Step 5: Solve for x
    x = 5,307,238.37/2,424.84
  6. Step 6: Final answer
    x = 2,188.70

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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.