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Finding the Fourth Proportional to 2,378.96, 3,568.40 and 647.54

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Solution

The fourth proportional to 2,378.96, 3,568.40 and 647.54 is: 971.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,378.96 : 3,568.40 = 647.54 : x
  2. Step 2: Convert to fraction form
    2,378.96/3,568.40 = 647.54/x
  3. Step 3: Cross multiply
    2,378.96x = 3,568.40 × 647.54
  4. Step 4: Simplify right side
    2,378.96x = 2,310,681.74
  5. Step 5: Solve for x
    x = 2,310,681.74/2,378.96
  6. Step 6: Final answer
    x = 971.30

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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.