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Finding the Fourth Proportional to 2,037.87, 2,807.01 and 1,594.98

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Solution

The fourth proportional to 2,037.87, 2,807.01 and 1,594.98 is: 2,196.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,037.87 : 2,807.01 = 1,594.98 : x
  2. Step 2: Convert to fraction form
    2,037.87/2,807.01 = 1,594.98/x
  3. Step 3: Cross multiply
    2,037.87x = 2,807.01 × 1,594.98
  4. Step 4: Simplify right side
    2,037.87x = 4,477,124.81
  5. Step 5: Solve for x
    x = 4,477,124.81/2,037.87
  6. Step 6: Final answer
    x = 2,196.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.