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Finding the Fourth Proportional to 1,805.96, 2,707.08 and 695.08

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Solution

The fourth proportional to 1,805.96, 2,707.08 and 695.08 is: 1,041.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,805.96 : 2,707.08 = 695.08 : x
  2. Step 2: Convert to fraction form
    1,805.96/2,707.08 = 695.08/x
  3. Step 3: Cross multiply
    1,805.96x = 2,707.08 × 695.08
  4. Step 4: Simplify right side
    1,805.96x = 1,881,637.17
  5. Step 5: Solve for x
    x = 1,881,637.17/1,805.96
  6. Step 6: Final answer
    x = 1,041.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.