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Finding the Fourth Proportional to 1,859.06, 2,565.50 and 1,019.77

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Solution

The fourth proportional to 1,859.06, 2,565.50 and 1,019.77 is: 1,407.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,859.06 : 2,565.50 = 1,019.77 : x
  2. Step 2: Convert to fraction form
    1,859.06/2,565.50 = 1,019.77/x
  3. Step 3: Cross multiply
    1,859.06x = 2,565.50 × 1,019.77
  4. Step 4: Simplify right side
    1,859.06x = 2,616,219.20
  5. Step 5: Solve for x
    x = 2,616,219.20/1,859.06
  6. Step 6: Final answer
    x = 1,407.28

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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.