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Finding the Fourth Proportional to 1,643.72, 2,461.66 and 948.94

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Solution

The fourth proportional to 1,643.72, 2,461.66 and 948.94 is: 1,421.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,643.72 : 2,461.66 = 948.94 : x
  2. Step 2: Convert to fraction form
    1,643.72/2,461.66 = 948.94/x
  3. Step 3: Cross multiply
    1,643.72x = 2,461.66 × 948.94
  4. Step 4: Simplify right side
    1,643.72x = 2,335,967.64
  5. Step 5: Solve for x
    x = 2,335,967.64/1,643.72
  6. Step 6: Final answer
    x = 1,421.15

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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.