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Finding the Fourth Proportional to 2,383.84, 3,576.54 and 740.40

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Solution

The fourth proportional to 2,383.84, 3,576.54 and 740.40 is: 1,110.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,383.84 : 3,576.54 = 740.40 : x
  2. Step 2: Convert to fraction form
    2,383.84/3,576.54 = 740.40/x
  3. Step 3: Cross multiply
    2,383.84x = 3,576.54 × 740.40
  4. Step 4: Simplify right side
    2,383.84x = 2,648,070.22
  5. Step 5: Solve for x
    x = 2,648,070.22/2,383.84
  6. Step 6: Final answer
    x = 1,110.84

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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.