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Finding the Fourth Proportional to 1,367.22, 1,886.40 and 895.26

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Solution

The fourth proportional to 1,367.22, 1,886.40 and 895.26 is: 1,235.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,367.22 : 1,886.40 = 895.26 : x
  2. Step 2: Convert to fraction form
    1,367.22/1,886.40 = 895.26/x
  3. Step 3: Cross multiply
    1,367.22x = 1,886.40 × 895.26
  4. Step 4: Simplify right side
    1,367.22x = 1,688,818.46
  5. Step 5: Solve for x
    x = 1,688,818.46/1,367.22
  6. Step 6: Final answer
    x = 1,235.22

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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.