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Finding the Fourth Proportional to 1,561.55, 2,341.89 and 465.98

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Solution

The fourth proportional to 1,561.55, 2,341.89 and 465.98 is: 698.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,561.55 : 2,341.89 = 465.98 : x
  2. Step 2: Convert to fraction form
    1,561.55/2,341.89 = 465.98/x
  3. Step 3: Cross multiply
    1,561.55x = 2,341.89 × 465.98
  4. Step 4: Simplify right side
    1,561.55x = 1,091,262.19
  5. Step 5: Solve for x
    x = 1,091,262.19/1,561.55
  6. Step 6: Final answer
    x = 698.83

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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.