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Finding the Fourth Proportional to 3,021.84, 4,523.04 and 1,702.08

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Solution

The fourth proportional to 3,021.84, 4,523.04 and 1,702.08 is: 2,547.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,021.84 : 4,523.04 = 1,702.08 : x
  2. Step 2: Convert to fraction form
    3,021.84/4,523.04 = 1,702.08/x
  3. Step 3: Cross multiply
    3,021.84x = 4,523.04 × 1,702.08
  4. Step 4: Simplify right side
    3,021.84x = 7,698,575.92
  5. Step 5: Solve for x
    x = 7,698,575.92/3,021.84
  6. Step 6: Final answer
    x = 2,547.65

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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.