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Finding the Fourth Proportional to 2,590.84, 3,863.81 and 2,415.88

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Solution

The fourth proportional to 2,590.84, 3,863.81 and 2,415.88 is: 3,602.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,590.84 : 3,863.81 = 2,415.88 : x
  2. Step 2: Convert to fraction form
    2,590.84/3,863.81 = 2,415.88/x
  3. Step 3: Cross multiply
    2,590.84x = 3,863.81 × 2,415.88
  4. Step 4: Simplify right side
    2,590.84x = 9,334,501.30
  5. Step 5: Solve for x
    x = 9,334,501.30/2,590.84
  6. Step 6: Final answer
    x = 3,602.89

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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.