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Finding the Fourth Proportional to 2,089.48, 2,883 and 1,303.24

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Solution

The fourth proportional to 2,089.48, 2,883 and 1,303.24 is: 1,798.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,089.48 : 2,883 = 1,303.24 : x
  2. Step 2: Convert to fraction form
    2,089.48/2,883 = 1,303.24/x
  3. Step 3: Cross multiply
    2,089.48x = 2,883 × 1,303.24
  4. Step 4: Simplify right side
    2,089.48x = 3,757,240.92
  5. Step 5: Solve for x
    x = 3,757,240.92/2,089.48
  6. Step 6: Final answer
    x = 1,798.17

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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.