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Finding the Fourth Proportional to 1,464.57, 2,017.65 and 1,021.68

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Solution

The fourth proportional to 1,464.57, 2,017.65 and 1,021.68 is: 1,407.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,464.57 : 2,017.65 = 1,021.68 : x
  2. Step 2: Convert to fraction form
    1,464.57/2,017.65 = 1,021.68/x
  3. Step 3: Cross multiply
    1,464.57x = 2,017.65 × 1,021.68
  4. Step 4: Simplify right side
    1,464.57x = 2,061,392.65
  5. Step 5: Solve for x
    x = 2,061,392.65/1,464.57
  6. Step 6: Final answer
    x = 1,407.51

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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.