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Finding the Fourth Proportional to 1,555.21, 2,146.05 and 917.05

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Solution

The fourth proportional to 1,555.21, 2,146.05 and 917.05 is: 1,265.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,555.21 : 2,146.05 = 917.05 : x
  2. Step 2: Convert to fraction form
    1,555.21/2,146.05 = 917.05/x
  3. Step 3: Cross multiply
    1,555.21x = 2,146.05 × 917.05
  4. Step 4: Simplify right side
    1,555.21x = 1,968,035.15
  5. Step 5: Solve for x
    x = 1,968,035.15/1,555.21
  6. Step 6: Final answer
    x = 1,265.45

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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.