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Finding the Fourth Proportional to 2,597.99, 3,583.22 and 1,653.93

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Solution

The fourth proportional to 2,597.99, 3,583.22 and 1,653.93 is: 2,281.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,597.99 : 3,583.22 = 1,653.93 : x
  2. Step 2: Convert to fraction form
    2,597.99/3,583.22 = 1,653.93/x
  3. Step 3: Cross multiply
    2,597.99x = 3,583.22 × 1,653.93
  4. Step 4: Simplify right side
    2,597.99x = 5,926,386.78
  5. Step 5: Solve for x
    x = 5,926,386.78/2,597.99
  6. Step 6: Final answer
    x = 2,281.15

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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.