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Finding the Fourth Proportional to 1,970.05, 2,718.55 and 1,085.86

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Solution

The fourth proportional to 1,970.05, 2,718.55 and 1,085.86 is: 1,498.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,970.05 : 2,718.55 = 1,085.86 : x
  2. Step 2: Convert to fraction form
    1,970.05/2,718.55 = 1,085.86/x
  3. Step 3: Cross multiply
    1,970.05x = 2,718.55 × 1,085.86
  4. Step 4: Simplify right side
    1,970.05x = 2,951,952.48
  5. Step 5: Solve for x
    x = 2,951,952.48/1,970.05
  6. Step 6: Final answer
    x = 1,498.42

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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.