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Finding the Fourth Proportional to 3,214.71, 4,814.51 and 1,566.09

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Solution

The fourth proportional to 3,214.71, 4,814.51 and 1,566.09 is: 2,345.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,214.71 : 4,814.51 = 1,566.09 : x
  2. Step 2: Convert to fraction form
    3,214.71/4,814.51 = 1,566.09/x
  3. Step 3: Cross multiply
    3,214.71x = 4,814.51 × 1,566.09
  4. Step 4: Simplify right side
    3,214.71x = 7,539,948.14
  5. Step 5: Solve for x
    x = 7,539,948.14/3,214.71
  6. Step 6: Final answer
    x = 2,345.45

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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.