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Finding the Fourth Proportional to 1,859.29, 2,565.89 and 1,020.03

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Solution

The fourth proportional to 1,859.29, 2,565.89 and 1,020.03 is: 1,407.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,859.29 : 2,565.89 = 1,020.03 : x
  2. Step 2: Convert to fraction form
    1,859.29/2,565.89 = 1,020.03/x
  3. Step 3: Cross multiply
    1,859.29x = 2,565.89 × 1,020.03
  4. Step 4: Simplify right side
    1,859.29x = 2,617,284.78
  5. Step 5: Solve for x
    x = 2,617,284.78/1,859.29
  6. Step 6: Final answer
    x = 1,407.68

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