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Finding the Fourth Proportional to 1,848.82, 2,551.34 and 1,009.52

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Solution

The fourth proportional to 1,848.82, 2,551.34 and 1,009.52 is: 1,393.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,848.82 : 2,551.34 = 1,009.52 : x
  2. Step 2: Convert to fraction form
    1,848.82/2,551.34 = 1,009.52/x
  3. Step 3: Cross multiply
    1,848.82x = 2,551.34 × 1,009.52
  4. Step 4: Simplify right side
    1,848.82x = 2,575,623.71
  5. Step 5: Solve for x
    x = 2,575,623.71/1,848.82
  6. Step 6: Final answer
    x = 1,393.12

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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.