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Finding the Fourth Proportional to 1,674.49, 2,521.61 and 1,460.65

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Solution

The fourth proportional to 1,674.49, 2,521.61 and 1,460.65 is: 2,199.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,674.49 : 2,521.61 = 1,460.65 : x
  2. Step 2: Convert to fraction form
    1,674.49/2,521.61 = 1,460.65/x
  3. Step 3: Cross multiply
    1,674.49x = 2,521.61 × 1,460.65
  4. Step 4: Simplify right side
    1,674.49x = 3,683,185.99
  5. Step 5: Solve for x
    x = 3,683,185.99/1,674.49
  6. Step 6: Final answer
    x = 2,199.59

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.