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Finding the Fourth Proportional to 2,315.94, 3,473.10 and 1,437.10

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Solution

The fourth proportional to 2,315.94, 3,473.10 and 1,437.10 is: 2,155.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,315.94 : 3,473.10 = 1,437.10 : x
  2. Step 2: Convert to fraction form
    2,315.94/3,473.10 = 1,437.10/x
  3. Step 3: Cross multiply
    2,315.94x = 3,473.10 × 1,437.10
  4. Step 4: Simplify right side
    2,315.94x = 4,991,192.01
  5. Step 5: Solve for x
    x = 4,991,192.01/2,315.94
  6. Step 6: Final answer
    x = 2,155.15

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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.