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Finding the Fourth Proportional to 1,783.30, 2,461.86 and 1,224

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Solution

The fourth proportional to 1,783.30, 2,461.86 and 1,224 is: 1,689.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,783.30 : 2,461.86 = 1,224 : x
  2. Step 2: Convert to fraction form
    1,783.30/2,461.86 = 1,224/x
  3. Step 3: Cross multiply
    1,783.30x = 2,461.86 × 1,224
  4. Step 4: Simplify right side
    1,783.30x = 3,013,316.64
  5. Step 5: Solve for x
    x = 3,013,316.64/1,783.30
  6. Step 6: Final answer
    x = 1,689.74

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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.