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Finding the Fourth Proportional to 2,152.04, 2,968.74 and 1,364.84

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Solution

The fourth proportional to 2,152.04, 2,968.74 and 1,364.84 is: 1,882.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,152.04 : 2,968.74 = 1,364.84 : x
  2. Step 2: Convert to fraction form
    2,152.04/2,968.74 = 1,364.84/x
  3. Step 3: Cross multiply
    2,152.04x = 2,968.74 × 1,364.84
  4. Step 4: Simplify right side
    2,152.04x = 4,051,855.10
  5. Step 5: Solve for x
    x = 4,051,855.10/2,152.04
  6. Step 6: Final answer
    x = 1,882.80

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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.