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Finding the Fourth Proportional to 2,605.96, 3,595.62 and 1,486.81

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Solution

The fourth proportional to 2,605.96, 3,595.62 and 1,486.81 is: 2,051.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,605.96 : 3,595.62 = 1,486.81 : x
  2. Step 2: Convert to fraction form
    2,605.96/3,595.62 = 1,486.81/x
  3. Step 3: Cross multiply
    2,605.96x = 3,595.62 × 1,486.81
  4. Step 4: Simplify right side
    2,605.96x = 5,346,003.77
  5. Step 5: Solve for x
    x = 5,346,003.77/2,605.96
  6. Step 6: Final answer
    x = 2,051.45

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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.