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Finding the Fourth Proportional to 2,388.02, 3,294.15 and 1,503.50

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Solution

The fourth proportional to 2,388.02, 3,294.15 and 1,503.50 is: 2,074.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,388.02 : 3,294.15 = 1,503.50 : x
  2. Step 2: Convert to fraction form
    2,388.02/3,294.15 = 1,503.50/x
  3. Step 3: Cross multiply
    2,388.02x = 3,294.15 × 1,503.50
  4. Step 4: Simplify right side
    2,388.02x = 4,952,754.53
  5. Step 5: Solve for x
    x = 4,952,754.53/2,388.02
  6. Step 6: Final answer
    x = 2,074.00

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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.