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Finding the Fourth Proportional to 1,535.51, 2,119.06 and 836.91

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Solution

The fourth proportional to 1,535.51, 2,119.06 and 836.91 is: 1,154.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,535.51 : 2,119.06 = 836.91 : x
  2. Step 2: Convert to fraction form
    1,535.51/2,119.06 = 836.91/x
  3. Step 3: Cross multiply
    1,535.51x = 2,119.06 × 836.91
  4. Step 4: Simplify right side
    1,535.51x = 1,773,458.32
  5. Step 5: Solve for x
    x = 1,773,458.32/1,535.51
  6. Step 6: Final answer
    x = 1,154.96

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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.