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Finding the Fourth Proportional to 2,298.54, 3,461.33 and 1,653.78

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Solution

The fourth proportional to 2,298.54, 3,461.33 and 1,653.78 is: 2,490.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,298.54 : 3,461.33 = 1,653.78 : x
  2. Step 2: Convert to fraction form
    2,298.54/3,461.33 = 1,653.78/x
  3. Step 3: Cross multiply
    2,298.54x = 3,461.33 × 1,653.78
  4. Step 4: Simplify right side
    2,298.54x = 5,724,278.33
  5. Step 5: Solve for x
    x = 5,724,278.33/2,298.54
  6. Step 6: Final answer
    x = 2,490.40

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.