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Finding the Fourth Proportional to 2,441.83, 3,663.29 and 1,345.63

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Solution

The fourth proportional to 2,441.83, 3,663.29 and 1,345.63 is: 2,018.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,441.83 : 3,663.29 = 1,345.63 : x
  2. Step 2: Convert to fraction form
    2,441.83/3,663.29 = 1,345.63/x
  3. Step 3: Cross multiply
    2,441.83x = 3,663.29 × 1,345.63
  4. Step 4: Simplify right side
    2,441.83x = 4,929,417.04
  5. Step 5: Solve for x
    x = 4,929,417.04/2,441.83
  6. Step 6: Final answer
    x = 2,018.74

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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.