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Finding the Fourth Proportional to 1,684.18, 2,523.46 and 587.94

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Solution

The fourth proportional to 1,684.18, 2,523.46 and 587.94 is: 880.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,684.18 : 2,523.46 = 587.94 : x
  2. Step 2: Convert to fraction form
    1,684.18/2,523.46 = 587.94/x
  3. Step 3: Cross multiply
    1,684.18x = 2,523.46 × 587.94
  4. Step 4: Simplify right side
    1,684.18x = 1,483,643.07
  5. Step 5: Solve for x
    x = 1,483,643.07/1,684.18
  6. Step 6: Final answer
    x = 880.93

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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.