Home / 1,560.24-2,154.13-971.57

Finding the Fourth Proportional to 1,560.24, 2,154.13 and 971.57

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Solution

The fourth proportional to 1,560.24, 2,154.13 and 971.57 is: 1,341.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,560.24 : 2,154.13 = 971.57 : x
  2. Step 2: Convert to fraction form
    1,560.24/2,154.13 = 971.57/x
  3. Step 3: Cross multiply
    1,560.24x = 2,154.13 × 971.57
  4. Step 4: Simplify right side
    1,560.24x = 2,092,891.04
  5. Step 5: Solve for x
    x = 2,092,891.04/1,560.24
  6. Step 6: Final answer
    x = 1,341.39

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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.