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Finding the Fourth Proportional to 3,153.55, 4,733.24 and 1,594.65

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Solution

The fourth proportional to 3,153.55, 4,733.24 and 1,594.65 is: 2,393.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,153.55 : 4,733.24 = 1,594.65 : x
  2. Step 2: Convert to fraction form
    3,153.55/4,733.24 = 1,594.65/x
  3. Step 3: Cross multiply
    3,153.55x = 4,733.24 × 1,594.65
  4. Step 4: Simplify right side
    3,153.55x = 7,547,861.17
  5. Step 5: Solve for x
    x = 7,547,861.17/3,153.55
  6. Step 6: Final answer
    x = 2,393.45

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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.