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Finding the Fourth Proportional to 1,584.40, 2,377.62 and 1,464.16

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Solution

The fourth proportional to 1,584.40, 2,377.62 and 1,464.16 is: 2,197.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584.40 : 2,377.62 = 1,464.16 : x
  2. Step 2: Convert to fraction form
    1,584.40/2,377.62 = 1,464.16/x
  3. Step 3: Cross multiply
    1,584.40x = 2,377.62 × 1,464.16
  4. Step 4: Simplify right side
    1,584.40x = 3,481,216.10
  5. Step 5: Solve for x
    x = 3,481,216.10/1,584.40
  6. Step 6: Final answer
    x = 2,197.18

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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.