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Finding the Fourth Proportional to 2,046.93, 3,064.93 and 1,223.16

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Solution

The fourth proportional to 2,046.93, 3,064.93 and 1,223.16 is: 1,831.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,046.93 : 3,064.93 = 1,223.16 : x
  2. Step 2: Convert to fraction form
    2,046.93/3,064.93 = 1,223.16/x
  3. Step 3: Cross multiply
    2,046.93x = 3,064.93 × 1,223.16
  4. Step 4: Simplify right side
    2,046.93x = 3,748,899.78
  5. Step 5: Solve for x
    x = 3,748,899.78/2,046.93
  6. Step 6: Final answer
    x = 1,831.47

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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.