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Finding the Fourth Proportional to 2,349.41, 3,242.19 and 1,465.22

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Solution

The fourth proportional to 2,349.41, 3,242.19 and 1,465.22 is: 2,022.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,349.41 : 3,242.19 = 1,465.22 : x
  2. Step 2: Convert to fraction form
    2,349.41/3,242.19 = 1,465.22/x
  3. Step 3: Cross multiply
    2,349.41x = 3,242.19 × 1,465.22
  4. Step 4: Simplify right side
    2,349.41x = 4,750,521.63
  5. Step 5: Solve for x
    x = 4,750,521.63/2,349.41
  6. Step 6: Final answer
    x = 2,022.01

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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.