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Finding the Fourth Proportional to 1,475.57, 2,036.28 and 886.11

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Solution

The fourth proportional to 1,475.57, 2,036.28 and 886.11 is: 1,222.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,475.57 : 2,036.28 = 886.11 : x
  2. Step 2: Convert to fraction form
    1,475.57/2,036.28 = 886.11/x
  3. Step 3: Cross multiply
    1,475.57x = 2,036.28 × 886.11
  4. Step 4: Simplify right side
    1,475.57x = 1,804,368.07
  5. Step 5: Solve for x
    x = 1,804,368.07/1,475.57
  6. Step 6: Final answer
    x = 1,222.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.