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Finding the Fourth Proportional to 1,370.88, 1,889.85 and 977.22

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Solution

The fourth proportional to 1,370.88, 1,889.85 and 977.22 is: 1,347.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,370.88 : 1,889.85 = 977.22 : x
  2. Step 2: Convert to fraction form
    1,370.88/1,889.85 = 977.22/x
  3. Step 3: Cross multiply
    1,370.88x = 1,889.85 × 977.22
  4. Step 4: Simplify right side
    1,370.88x = 1,846,797.68
  5. Step 5: Solve for x
    x = 1,846,797.68/1,370.88
  6. Step 6: Final answer
    x = 1,347.16

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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.