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Finding the Fourth Proportional to 1,552.57, 2,142.51 and 853.94

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Solution

The fourth proportional to 1,552.57, 2,142.51 and 853.94 is: 1,178.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,552.57 : 2,142.51 = 853.94 : x
  2. Step 2: Convert to fraction form
    1,552.57/2,142.51 = 853.94/x
  3. Step 3: Cross multiply
    1,552.57x = 2,142.51 × 853.94
  4. Step 4: Simplify right side
    1,552.57x = 1,829,574.99
  5. Step 5: Solve for x
    x = 1,829,574.99/1,552.57
  6. Step 6: Final answer
    x = 1,178.42

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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.