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Finding the Fourth Proportional to 1,809.76, 2,498.16 and 1,111

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Solution

The fourth proportional to 1,809.76, 2,498.16 and 1,111 is: 1,533.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,809.76 : 2,498.16 = 1,111 : x
  2. Step 2: Convert to fraction form
    1,809.76/2,498.16 = 1,111/x
  3. Step 3: Cross multiply
    1,809.76x = 2,498.16 × 1,111
  4. Step 4: Simplify right side
    1,809.76x = 2,775,455.76
  5. Step 5: Solve for x
    x = 2,775,455.76/1,809.76
  6. Step 6: Final answer
    x = 1,533.60

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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.