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Finding the Fourth Proportional to 1,442.83, 2,164.95 and 894.87

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Solution

The fourth proportional to 1,442.83, 2,164.95 and 894.87 is: 1,342.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,442.83 : 2,164.95 = 894.87 : x
  2. Step 2: Convert to fraction form
    1,442.83/2,164.95 = 894.87/x
  3. Step 3: Cross multiply
    1,442.83x = 2,164.95 × 894.87
  4. Step 4: Simplify right side
    1,442.83x = 1,937,348.81
  5. Step 5: Solve for x
    x = 1,937,348.81/1,442.83
  6. Step 6: Final answer
    x = 1,342.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.