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Finding the Fourth Proportional to 3,097.51, 4,643.53 and 1,148.45

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Solution

The fourth proportional to 3,097.51, 4,643.53 and 1,148.45 is: 1,721.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,097.51 : 4,643.53 = 1,148.45 : x
  2. Step 2: Convert to fraction form
    3,097.51/4,643.53 = 1,148.45/x
  3. Step 3: Cross multiply
    3,097.51x = 4,643.53 × 1,148.45
  4. Step 4: Simplify right side
    3,097.51x = 5,332,835.94
  5. Step 5: Solve for x
    x = 5,332,835.94/3,097.51
  6. Step 6: Final answer
    x = 1,721.65

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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.