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Finding the Fourth Proportional to 1,810.24, 2,498 and 1,111.62

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Solution

The fourth proportional to 1,810.24, 2,498 and 1,111.62 is: 1,533.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,810.24 : 2,498 = 1,111.62 : x
  2. Step 2: Convert to fraction form
    1,810.24/2,498 = 1,111.62/x
  3. Step 3: Cross multiply
    1,810.24x = 2,498 × 1,111.62
  4. Step 4: Simplify right side
    1,810.24x = 2,776,826.76
  5. Step 5: Solve for x
    x = 2,776,826.76/1,810.24
  6. Step 6: Final answer
    x = 1,533.96

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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.