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Finding the Fourth Proportional to 2,357.90, 3,535.70 and 971

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Solution

The fourth proportional to 2,357.90, 3,535.70 and 971 is: 1,456.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,357.90 : 3,535.70 = 971 : x
  2. Step 2: Convert to fraction form
    2,357.90/3,535.70 = 971/x
  3. Step 3: Cross multiply
    2,357.90x = 3,535.70 × 971
  4. Step 4: Simplify right side
    2,357.90x = 3,433,164.70
  5. Step 5: Solve for x
    x = 3,433,164.70/2,357.90
  6. Step 6: Final answer
    x = 1,456.03

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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.