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Finding the Fourth Proportional to 1,643.51, 2,463.30 and 948.74

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Solution

The fourth proportional to 1,643.51, 2,463.30 and 948.74 is: 1,421.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,643.51 : 2,463.30 = 948.74 : x
  2. Step 2: Convert to fraction form
    1,643.51/2,463.30 = 948.74/x
  3. Step 3: Cross multiply
    1,643.51x = 2,463.30 × 948.74
  4. Step 4: Simplify right side
    1,643.51x = 2,337,018.93
  5. Step 5: Solve for x
    x = 2,337,018.93/1,643.51
  6. Step 6: Final answer
    x = 1,421.97

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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.