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Finding the Fourth Proportional to 4,632.18, 6,946.74 and 1,345.38

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Solution

The fourth proportional to 4,632.18, 6,946.74 and 1,345.38 is: 2,017.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,632.18 : 6,946.74 = 1,345.38 : x
  2. Step 2: Convert to fraction form
    4,632.18/6,946.74 = 1,345.38/x
  3. Step 3: Cross multiply
    4,632.18x = 6,946.74 × 1,345.38
  4. Step 4: Simplify right side
    4,632.18x = 9,346,005.06
  5. Step 5: Solve for x
    x = 9,346,005.06/4,632.18
  6. Step 6: Final answer
    x = 2,017.63

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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.