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Finding the Fourth Proportional to 2,328.71, 3,214.11 and 1,477.41

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Solution

The fourth proportional to 2,328.71, 3,214.11 and 1,477.41 is: 2,039.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,328.71 : 3,214.11 = 1,477.41 : x
  2. Step 2: Convert to fraction form
    2,328.71/3,214.11 = 1,477.41/x
  3. Step 3: Cross multiply
    2,328.71x = 3,214.11 × 1,477.41
  4. Step 4: Simplify right side
    2,328.71x = 4,748,558.26
  5. Step 5: Solve for x
    x = 4,748,558.26/2,328.71
  6. Step 6: Final answer
    x = 2,039.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.