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Finding the Fourth Proportional to 2,565.06, 3,536.10 and 1,724.28

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Solution

The fourth proportional to 2,565.06, 3,536.10 and 1,724.28 is: 2,377.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,565.06 : 3,536.10 = 1,724.28 : x
  2. Step 2: Convert to fraction form
    2,565.06/3,536.10 = 1,724.28/x
  3. Step 3: Cross multiply
    2,565.06x = 3,536.10 × 1,724.28
  4. Step 4: Simplify right side
    2,565.06x = 6,097,226.51
  5. Step 5: Solve for x
    x = 6,097,226.51/2,565.06
  6. Step 6: Final answer
    x = 2,377.03

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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.