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Finding the Fourth Proportional to 2,424.52, 3,345.84 and 1,376.50

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Solution

The fourth proportional to 2,424.52, 3,345.84 and 1,376.50 is: 1,899.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,424.52 : 3,345.84 = 1,376.50 : x
  2. Step 2: Convert to fraction form
    2,424.52/3,345.84 = 1,376.50/x
  3. Step 3: Cross multiply
    2,424.52x = 3,345.84 × 1,376.50
  4. Step 4: Simplify right side
    2,424.52x = 4,605,548.76
  5. Step 5: Solve for x
    x = 4,605,548.76/2,424.52
  6. Step 6: Final answer
    x = 1,899.57

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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.