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Finding the Fourth Proportional to 2,364.42, 3,547.98 and 2,274.51

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Solution

The fourth proportional to 2,364.42, 3,547.98 and 2,274.51 is: 3,413.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,364.42 : 3,547.98 = 2,274.51 : x
  2. Step 2: Convert to fraction form
    2,364.42/3,547.98 = 2,274.51/x
  3. Step 3: Cross multiply
    2,364.42x = 3,547.98 × 2,274.51
  4. Step 4: Simplify right side
    2,364.42x = 8,069,915.99
  5. Step 5: Solve for x
    x = 8,069,915.99/2,364.42
  6. Step 6: Final answer
    x = 3,413.06

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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.