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Finding the Fourth Proportional to 1,867.47, 2,801.60 and 569.04

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Solution

The fourth proportional to 1,867.47, 2,801.60 and 569.04 is: 853.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,867.47 : 2,801.60 = 569.04 : x
  2. Step 2: Convert to fraction form
    1,867.47/2,801.60 = 569.04/x
  3. Step 3: Cross multiply
    1,867.47x = 2,801.60 × 569.04
  4. Step 4: Simplify right side
    1,867.47x = 1,594,222.46
  5. Step 5: Solve for x
    x = 1,594,222.46/1,867.47
  6. Step 6: Final answer
    x = 853.68

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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.