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Finding the Fourth Proportional to 1,809.42, 2,498.06 and 1,146.84

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Solution

The fourth proportional to 1,809.42, 2,498.06 and 1,146.84 is: 1,583.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,809.42 : 2,498.06 = 1,146.84 : x
  2. Step 2: Convert to fraction form
    1,809.42/2,498.06 = 1,146.84/x
  3. Step 3: Cross multiply
    1,809.42x = 2,498.06 × 1,146.84
  4. Step 4: Simplify right side
    1,809.42x = 2,864,875.13
  5. Step 5: Solve for x
    x = 2,864,875.13/1,809.42
  6. Step 6: Final answer
    x = 1,583.31

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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.