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Finding the Fourth Proportional to 1,598.41, 2,397.61 and 719.89

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Solution

The fourth proportional to 1,598.41, 2,397.61 and 719.89 is: 1,079.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,598.41 : 2,397.61 = 719.89 : x
  2. Step 2: Convert to fraction form
    1,598.41/2,397.61 = 719.89/x
  3. Step 3: Cross multiply
    1,598.41x = 2,397.61 × 719.89
  4. Step 4: Simplify right side
    1,598.41x = 1,726,004.37
  5. Step 5: Solve for x
    x = 1,726,004.37/1,598.41
  6. Step 6: Final answer
    x = 1,079.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.