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Finding the Fourth Proportional to 1,584.58, 2,366.05 and 1,418.98

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Solution

The fourth proportional to 1,584.58, 2,366.05 and 1,418.98 is: 2,118.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584.58 : 2,366.05 = 1,418.98 : x
  2. Step 2: Convert to fraction form
    1,584.58/2,366.05 = 1,418.98/x
  3. Step 3: Cross multiply
    1,584.58x = 2,366.05 × 1,418.98
  4. Step 4: Simplify right side
    1,584.58x = 3,357,370.53
  5. Step 5: Solve for x
    x = 3,357,370.53/1,584.58
  6. Step 6: Final answer
    x = 2,118.78

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.