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Finding the Fourth Proportional to 2,349.69, 3,240.45 and 1,465.58

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Solution

The fourth proportional to 2,349.69, 3,240.45 and 1,465.58 is: 2,021.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,349.69 : 3,240.45 = 1,465.58 : x
  2. Step 2: Convert to fraction form
    2,349.69/3,240.45 = 1,465.58/x
  3. Step 3: Cross multiply
    2,349.69x = 3,240.45 × 1,465.58
  4. Step 4: Simplify right side
    2,349.69x = 4,749,122.51
  5. Step 5: Solve for x
    x = 4,749,122.51/2,349.69
  6. Step 6: Final answer
    x = 2,021.17

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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.