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Finding the Fourth Proportional to 3,037.50, 4,556.27 and 957.45

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Solution

The fourth proportional to 3,037.50, 4,556.27 and 957.45 is: 1,436.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,037.50 : 4,556.27 = 957.45 : x
  2. Step 2: Convert to fraction form
    3,037.50/4,556.27 = 957.45/x
  3. Step 3: Cross multiply
    3,037.50x = 4,556.27 × 957.45
  4. Step 4: Simplify right side
    3,037.50x = 4,362,400.71
  5. Step 5: Solve for x
    x = 4,362,400.71/3,037.50
  6. Step 6: Final answer
    x = 1,436.18

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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.