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Finding the Fourth Proportional to 1,813.28, 2,718.18 and 580.01

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Solution

The fourth proportional to 1,813.28, 2,718.18 and 580.01 is: 869.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,813.28 : 2,718.18 = 580.01 : x
  2. Step 2: Convert to fraction form
    1,813.28/2,718.18 = 580.01/x
  3. Step 3: Cross multiply
    1,813.28x = 2,718.18 × 580.01
  4. Step 4: Simplify right side
    1,813.28x = 1,576,557.99
  5. Step 5: Solve for x
    x = 1,576,557.99/1,813.28
  6. Step 6: Final answer
    x = 869.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.