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Finding the Fourth Proportional to 3,302.66, 4,558.05 and 1,886.57

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Solution

The fourth proportional to 3,302.66, 4,558.05 and 1,886.57 is: 2,603.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,302.66 : 4,558.05 = 1,886.57 : x
  2. Step 2: Convert to fraction form
    3,302.66/4,558.05 = 1,886.57/x
  3. Step 3: Cross multiply
    3,302.66x = 4,558.05 × 1,886.57
  4. Step 4: Simplify right side
    3,302.66x = 8,599,080.39
  5. Step 5: Solve for x
    x = 8,599,080.39/3,302.66
  6. Step 6: Final answer
    x = 2,603.68

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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.