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Finding the Fourth Proportional to 2,049.34, 3,075.07 and 953.38

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Solution

The fourth proportional to 2,049.34, 3,075.07 and 953.38 is: 1,430.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,049.34 : 3,075.07 = 953.38 : x
  2. Step 2: Convert to fraction form
    2,049.34/3,075.07 = 953.38/x
  3. Step 3: Cross multiply
    2,049.34x = 3,075.07 × 953.38
  4. Step 4: Simplify right side
    2,049.34x = 2,931,710.24
  5. Step 5: Solve for x
    x = 2,931,710.24/2,049.34
  6. Step 6: Final answer
    x = 1,430.56

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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.