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Finding the Fourth Proportional to 3,075.24, 4,613.06 and 883.92

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Solution

The fourth proportional to 3,075.24, 4,613.06 and 883.92 is: 1,325.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,075.24 : 4,613.06 = 883.92 : x
  2. Step 2: Convert to fraction form
    3,075.24/4,613.06 = 883.92/x
  3. Step 3: Cross multiply
    3,075.24x = 4,613.06 × 883.92
  4. Step 4: Simplify right side
    3,075.24x = 4,077,576.00
  5. Step 5: Solve for x
    x = 4,077,576.00/3,075.24
  6. Step 6: Final answer
    x = 1,325.94

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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.