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Finding the Fourth Proportional to 1,653.06, 2,281.23 and 1,513.64

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Solution

The fourth proportional to 1,653.06, 2,281.23 and 1,513.64 is: 2,088.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,653.06 : 2,281.23 = 1,513.64 : x
  2. Step 2: Convert to fraction form
    1,653.06/2,281.23 = 1,513.64/x
  3. Step 3: Cross multiply
    1,653.06x = 2,281.23 × 1,513.64
  4. Step 4: Simplify right side
    1,653.06x = 3,452,960.98
  5. Step 5: Solve for x
    x = 3,452,960.98/1,653.06
  6. Step 6: Final answer
    x = 2,088.83

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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.