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Finding the Fourth Proportional to 1,486.08, 2,228.40 and 836.64

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Solution

The fourth proportional to 1,486.08, 2,228.40 and 836.64 is: 1,254.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,486.08 : 2,228.40 = 836.64 : x
  2. Step 2: Convert to fraction form
    1,486.08/2,228.40 = 836.64/x
  3. Step 3: Cross multiply
    1,486.08x = 2,228.40 × 836.64
  4. Step 4: Simplify right side
    1,486.08x = 1,864,368.58
  5. Step 5: Solve for x
    x = 1,864,368.58/1,486.08
  6. Step 6: Final answer
    x = 1,254.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.