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Finding the Fourth Proportional to 2,426.51, 3,640.54 and 866.48

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Solution

The fourth proportional to 2,426.51, 3,640.54 and 866.48 is: 1,300.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,426.51 : 3,640.54 = 866.48 : x
  2. Step 2: Convert to fraction form
    2,426.51/3,640.54 = 866.48/x
  3. Step 3: Cross multiply
    2,426.51x = 3,640.54 × 866.48
  4. Step 4: Simplify right side
    2,426.51x = 3,154,462.03
  5. Step 5: Solve for x
    x = 3,154,462.03/2,426.51
  6. Step 6: Final answer
    x = 1,300.00

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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.