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Finding the Fourth Proportional to 3,017.98, 4,526.01 and 965.50

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Solution

The fourth proportional to 3,017.98, 4,526.01 and 965.50 is: 1,447.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,017.98 : 4,526.01 = 965.50 : x
  2. Step 2: Convert to fraction form
    3,017.98/4,526.01 = 965.50/x
  3. Step 3: Cross multiply
    3,017.98x = 4,526.01 × 965.50
  4. Step 4: Simplify right side
    3,017.98x = 4,369,862.66
  5. Step 5: Solve for x
    x = 4,369,862.66/3,017.98
  6. Step 6: Final answer
    x = 1,447.94

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1.5x scale

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.