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Finding the Fourth Proportional to 2,356.98, 3,536.75 and 970.10

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Solution

The fourth proportional to 2,356.98, 3,536.75 and 970.10 is: 1,455.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,356.98 : 3,536.75 = 970.10 : x
  2. Step 2: Convert to fraction form
    2,356.98/3,536.75 = 970.10/x
  3. Step 3: Cross multiply
    2,356.98x = 3,536.75 × 970.10
  4. Step 4: Simplify right side
    2,356.98x = 3,431,001.18
  5. Step 5: Solve for x
    x = 3,431,001.18/2,356.98
  6. Step 6: Final answer
    x = 1,455.68

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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.