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Finding the Fourth Proportional to 1,442.02, 1,989.69 and 917.86

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Solution

The fourth proportional to 1,442.02, 1,989.69 and 917.86 is: 1,266.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,442.02 : 1,989.69 = 917.86 : x
  2. Step 2: Convert to fraction form
    1,442.02/1,989.69 = 917.86/x
  3. Step 3: Cross multiply
    1,442.02x = 1,989.69 × 917.86
  4. Step 4: Simplify right side
    1,442.02x = 1,826,256.86
  5. Step 5: Solve for x
    x = 1,826,256.86/1,442.02
  6. Step 6: Final answer
    x = 1,266.46

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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.