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Finding the Fourth Proportional to 1,598.02, 2,384.81 and 1,399.48

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Solution

The fourth proportional to 1,598.02, 2,384.81 and 1,399.48 is: 2,088.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,598.02 : 2,384.81 = 1,399.48 : x
  2. Step 2: Convert to fraction form
    1,598.02/2,384.81 = 1,399.48/x
  3. Step 3: Cross multiply
    1,598.02x = 2,384.81 × 1,399.48
  4. Step 4: Simplify right side
    1,598.02x = 3,337,493.90
  5. Step 5: Solve for x
    x = 3,337,493.90/1,598.02
  6. Step 6: Final answer
    x = 2,088.52

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.