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Finding the Fourth Proportional to 2,473.61, 3,415.87 and 1,590.94

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Solution

The fourth proportional to 2,473.61, 3,415.87 and 1,590.94 is: 2,196.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,473.61 : 3,415.87 = 1,590.94 : x
  2. Step 2: Convert to fraction form
    2,473.61/3,415.87 = 1,590.94/x
  3. Step 3: Cross multiply
    2,473.61x = 3,415.87 × 1,590.94
  4. Step 4: Simplify right side
    2,473.61x = 5,434,450.48
  5. Step 5: Solve for x
    x = 5,434,450.48/2,473.61
  6. Step 6: Final answer
    x = 2,196.98

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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.