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Finding the Fourth Proportional to 1,598.54, 2,381.75 and 1,509.02

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Solution

The fourth proportional to 1,598.54, 2,381.75 and 1,509.02 is: 2,248.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,598.54 : 2,381.75 = 1,509.02 : x
  2. Step 2: Convert to fraction form
    1,598.54/2,381.75 = 1,509.02/x
  3. Step 3: Cross multiply
    1,598.54x = 2,381.75 × 1,509.02
  4. Step 4: Simplify right side
    1,598.54x = 3,594,108.39
  5. Step 5: Solve for x
    x = 3,594,108.39/1,598.54
  6. Step 6: Final answer
    x = 2,248.37

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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.