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Finding the Fourth Proportional to 2,596.61, 3,580.93 and 1,758.54

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Solution

The fourth proportional to 2,596.61, 3,580.93 and 1,758.54 is: 2,425.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,596.61 : 3,580.93 = 1,758.54 : x
  2. Step 2: Convert to fraction form
    2,596.61/3,580.93 = 1,758.54/x
  3. Step 3: Cross multiply
    2,596.61x = 3,580.93 × 1,758.54
  4. Step 4: Simplify right side
    2,596.61x = 6,297,210.53
  5. Step 5: Solve for x
    x = 6,297,210.53/2,596.61
  6. Step 6: Final answer
    x = 2,425.17

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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.