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Finding the Fourth Proportional to 2,870.04, 3,955.80 and 2,396.22

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Solution

The fourth proportional to 2,870.04, 3,955.80 and 2,396.22 is: 3,302.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,870.04 : 3,955.80 = 2,396.22 : x
  2. Step 2: Convert to fraction form
    2,870.04/3,955.80 = 2,396.22/x
  3. Step 3: Cross multiply
    2,870.04x = 3,955.80 × 2,396.22
  4. Step 4: Simplify right side
    2,870.04x = 9,478,967.08
  5. Step 5: Solve for x
    x = 9,478,967.08/2,870.04
  6. Step 6: Final answer
    x = 3,302.73

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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.