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Finding the Fourth Proportional to 2,046.61, 2,824.53 and 1,207.58

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Solution

The fourth proportional to 2,046.61, 2,824.53 and 1,207.58 is: 1,666.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,046.61 : 2,824.53 = 1,207.58 : x
  2. Step 2: Convert to fraction form
    2,046.61/2,824.53 = 1,207.58/x
  3. Step 3: Cross multiply
    2,046.61x = 2,824.53 × 1,207.58
  4. Step 4: Simplify right side
    2,046.61x = 3,410,854.51
  5. Step 5: Solve for x
    x = 3,410,854.51/2,046.61
  6. Step 6: Final answer
    x = 1,666.59

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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.