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Finding the Fourth Proportional to 1,427.47, 2,140.07 and 842.45

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Solution

The fourth proportional to 1,427.47, 2,140.07 and 842.45 is: 1,263.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,427.47 : 2,140.07 = 842.45 : x
  2. Step 2: Convert to fraction form
    1,427.47/2,140.07 = 842.45/x
  3. Step 3: Cross multiply
    1,427.47x = 2,140.07 × 842.45
  4. Step 4: Simplify right side
    1,427.47x = 1,802,903.84
  5. Step 5: Solve for x
    x = 1,802,903.84/1,427.47
  6. Step 6: Final answer
    x = 1,263.00

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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.