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Finding the Fourth Proportional to 1,526.44, 2,107.48 and 937.30

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Solution

The fourth proportional to 1,526.44, 2,107.48 and 937.30 is: 1,294.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,526.44 : 2,107.48 = 937.30 : x
  2. Step 2: Convert to fraction form
    1,526.44/2,107.48 = 937.30/x
  3. Step 3: Cross multiply
    1,526.44x = 2,107.48 × 937.30
  4. Step 4: Simplify right side
    1,526.44x = 1,975,341.00
  5. Step 5: Solve for x
    x = 1,975,341.00/1,526.44
  6. Step 6: Final answer
    x = 1,294.08

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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.