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Finding the Fourth Proportional to 3,066.71, 4,598.71 and 874.94

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Solution

The fourth proportional to 3,066.71, 4,598.71 and 874.94 is: 1,312.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,066.71 : 4,598.71 = 874.94 : x
  2. Step 2: Convert to fraction form
    3,066.71/4,598.71 = 874.94/x
  3. Step 3: Cross multiply
    3,066.71x = 4,598.71 × 874.94
  4. Step 4: Simplify right side
    3,066.71x = 4,023,595.33
  5. Step 5: Solve for x
    x = 4,023,595.33/3,066.71
  6. Step 6: Final answer
    x = 1,312.02

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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.