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Finding the Fourth Proportional to 1,674.42, 2,309.90 and 1,085.14

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Solution

The fourth proportional to 1,674.42, 2,309.90 and 1,085.14 is: 1,496.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,674.42 : 2,309.90 = 1,085.14 : x
  2. Step 2: Convert to fraction form
    1,674.42/2,309.90 = 1,085.14/x
  3. Step 3: Cross multiply
    1,674.42x = 2,309.90 × 1,085.14
  4. Step 4: Simplify right side
    1,674.42x = 2,506,564.89
  5. Step 5: Solve for x
    x = 2,506,564.89/1,674.42
  6. Step 6: Final answer
    x = 1,496.98

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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.