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Finding the Fourth Proportional to 1,377.76, 1,900.04 and 936.32

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Solution

The fourth proportional to 1,377.76, 1,900.04 and 936.32 is: 1,291.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,377.76 : 1,900.04 = 936.32 : x
  2. Step 2: Convert to fraction form
    1,377.76/1,900.04 = 936.32/x
  3. Step 3: Cross multiply
    1,377.76x = 1,900.04 × 936.32
  4. Step 4: Simplify right side
    1,377.76x = 1,779,045.45
  5. Step 5: Solve for x
    x = 1,779,045.45/1,377.76
  6. Step 6: Final answer
    x = 1,291.26

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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.