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Finding the Fourth Proportional to 1,427.50, 1,970.16 and 838.36

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Solution

The fourth proportional to 1,427.50, 1,970.16 and 838.36 is: 1,157.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,427.50 : 1,970.16 = 838.36 : x
  2. Step 2: Convert to fraction form
    1,427.50/1,970.16 = 838.36/x
  3. Step 3: Cross multiply
    1,427.50x = 1,970.16 × 838.36
  4. Step 4: Simplify right side
    1,427.50x = 1,651,703.34
  5. Step 5: Solve for x
    x = 1,651,703.34/1,427.50
  6. Step 6: Final answer
    x = 1,157.06

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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.