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Finding the Fourth Proportional to 2,045.98, 3,068.59 and 564.84

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Solution

The fourth proportional to 2,045.98, 3,068.59 and 564.84 is: 847.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,045.98 : 3,068.59 = 564.84 : x
  2. Step 2: Convert to fraction form
    2,045.98/3,068.59 = 564.84/x
  3. Step 3: Cross multiply
    2,045.98x = 3,068.59 × 564.84
  4. Step 4: Simplify right side
    2,045.98x = 1,733,262.38
  5. Step 5: Solve for x
    x = 1,733,262.38/2,045.98
  6. Step 6: Final answer
    x = 847.16

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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.