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Finding the Fourth Proportional to 1,572.99, 2,169.82 and 975.21

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Solution

The fourth proportional to 1,572.99, 2,169.82 and 975.21 is: 1,345.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,572.99 : 2,169.82 = 975.21 : x
  2. Step 2: Convert to fraction form
    1,572.99/2,169.82 = 975.21/x
  3. Step 3: Cross multiply
    1,572.99x = 2,169.82 × 975.21
  4. Step 4: Simplify right side
    1,572.99x = 2,116,021.75
  5. Step 5: Solve for x
    x = 2,116,021.75/1,572.99
  6. Step 6: Final answer
    x = 1,345.23

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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.