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Finding the Fourth Proportional to 1,362.14, 2,040.53 and 898.51

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Solution

The fourth proportional to 1,362.14, 2,040.53 and 898.51 is: 1,346.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,362.14 : 2,040.53 = 898.51 : x
  2. Step 2: Convert to fraction form
    1,362.14/2,040.53 = 898.51/x
  3. Step 3: Cross multiply
    1,362.14x = 2,040.53 × 898.51
  4. Step 4: Simplify right side
    1,362.14x = 1,833,436.61
  5. Step 5: Solve for x
    x = 1,833,436.61/1,362.14
  6. Step 6: Final answer
    x = 1,346.00

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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.