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Finding the Fourth Proportional to 1,509.73, 2,082.67 and 1,068.07

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Solution

The fourth proportional to 1,509.73, 2,082.67 and 1,068.07 is: 1,473.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,509.73 : 2,082.67 = 1,068.07 : x
  2. Step 2: Convert to fraction form
    1,509.73/2,082.67 = 1,068.07/x
  3. Step 3: Cross multiply
    1,509.73x = 2,082.67 × 1,068.07
  4. Step 4: Simplify right side
    1,509.73x = 2,224,437.35
  5. Step 5: Solve for x
    x = 2,224,437.35/1,509.73
  6. Step 6: Final answer
    x = 1,473.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.