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Finding the Fourth Proportional to 1,784.96, 2,460.92 and 1,224.40

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Solution

The fourth proportional to 1,784.96, 2,460.92 and 1,224.40 is: 1,688.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,784.96 : 2,460.92 = 1,224.40 : x
  2. Step 2: Convert to fraction form
    1,784.96/2,460.92 = 1,224.40/x
  3. Step 3: Cross multiply
    1,784.96x = 2,460.92 × 1,224.40
  4. Step 4: Simplify right side
    1,784.96x = 3,013,150.45
  5. Step 5: Solve for x
    x = 3,013,150.45/1,784.96
  6. Step 6: Final answer
    x = 1,688.08

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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.