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Finding the Fourth Proportional to 1,584.99, 2,387.50 and 1,464.71

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Solution

The fourth proportional to 1,584.99, 2,387.50 and 1,464.71 is: 2,206.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584.99 : 2,387.50 = 1,464.71 : x
  2. Step 2: Convert to fraction form
    1,584.99/2,387.50 = 1,464.71/x
  3. Step 3: Cross multiply
    1,584.99x = 2,387.50 × 1,464.71
  4. Step 4: Simplify right side
    1,584.99x = 3,496,979.53
  5. Step 5: Solve for x
    x = 3,496,979.53/1,584.99
  6. Step 6: Final answer
    x = 2,206.31

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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.