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Finding the Fourth Proportional to 1,707.17, 2,559.15 and 926.03

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Solution

The fourth proportional to 1,707.17, 2,559.15 and 926.03 is: 1,388.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,707.17 : 2,559.15 = 926.03 : x
  2. Step 2: Convert to fraction form
    1,707.17/2,559.15 = 926.03/x
  3. Step 3: Cross multiply
    1,707.17x = 2,559.15 × 926.03
  4. Step 4: Simplify right side
    1,707.17x = 2,369,840.35
  5. Step 5: Solve for x
    x = 2,369,840.35/1,707.17
  6. Step 6: Final answer
    x = 1,388.17

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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.