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Finding the Fourth Proportional to 1,555.47, 2,146.14 and 883.22

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Solution

The fourth proportional to 1,555.47, 2,146.14 and 883.22 is: 1,218.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,555.47 : 2,146.14 = 883.22 : x
  2. Step 2: Convert to fraction form
    1,555.47/2,146.14 = 883.22/x
  3. Step 3: Cross multiply
    1,555.47x = 2,146.14 × 883.22
  4. Step 4: Simplify right side
    1,555.47x = 1,895,503.04
  5. Step 5: Solve for x
    x = 1,895,503.04/1,555.47
  6. Step 6: Final answer
    x = 1,218.60

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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.