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Finding the Fourth Proportional to 1,883.34, 2,823.14 and 894.42

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Solution

The fourth proportional to 1,883.34, 2,823.14 and 894.42 is: 1,340.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,883.34 : 2,823.14 = 894.42 : x
  2. Step 2: Convert to fraction form
    1,883.34/2,823.14 = 894.42/x
  3. Step 3: Cross multiply
    1,883.34x = 2,823.14 × 894.42
  4. Step 4: Simplify right side
    1,883.34x = 2,525,068.41
  5. Step 5: Solve for x
    x = 2,525,068.41/1,883.34
  6. Step 6: Final answer
    x = 1,340.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.