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Finding the Fourth Proportional to 1,427.61, 1,970.02 and 838.14

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Solution

The fourth proportional to 1,427.61, 1,970.02 and 838.14 is: 1,156.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,427.61 : 1,970.02 = 838.14 : x
  2. Step 2: Convert to fraction form
    1,427.61/1,970.02 = 838.14/x
  3. Step 3: Cross multiply
    1,427.61x = 1,970.02 × 838.14
  4. Step 4: Simplify right side
    1,427.61x = 1,651,152.56
  5. Step 5: Solve for x
    x = 1,651,152.56/1,427.61
  6. Step 6: Final answer
    x = 1,156.59

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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.