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Finding the Fourth Proportional to 1,564.18, 2,340.03 and 1,214.84

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Solution

The fourth proportional to 1,564.18, 2,340.03 and 1,214.84 is: 1,817.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564.18 : 2,340.03 = 1,214.84 : x
  2. Step 2: Convert to fraction form
    1,564.18/2,340.03 = 1,214.84/x
  3. Step 3: Cross multiply
    1,564.18x = 2,340.03 × 1,214.84
  4. Step 4: Simplify right side
    1,564.18x = 2,842,762.05
  5. Step 5: Solve for x
    x = 2,842,762.05/1,564.18
  6. Step 6: Final answer
    x = 1,817.41

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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.