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Finding the Fourth Proportional to 2,340.77, 3,509.40 and 1,416.14

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Solution

The fourth proportional to 2,340.77, 3,509.40 and 1,416.14 is: 2,123.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,340.77 : 3,509.40 = 1,416.14 : x
  2. Step 2: Convert to fraction form
    2,340.77/3,509.40 = 1,416.14/x
  3. Step 3: Cross multiply
    2,340.77x = 3,509.40 × 1,416.14
  4. Step 4: Simplify right side
    2,340.77x = 4,969,784.17
  5. Step 5: Solve for x
    x = 4,969,784.17/2,340.77
  6. Step 6: Final answer
    x = 2,123.15

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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.