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Finding the Fourth Proportional to 2,637.60, 3,956.40 and 2,378.40

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Solution

The fourth proportional to 2,637.60, 3,956.40 and 2,378.40 is: 3,567.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,637.60 : 3,956.40 = 2,378.40 : x
  2. Step 2: Convert to fraction form
    2,637.60/3,956.40 = 2,378.40/x
  3. Step 3: Cross multiply
    2,637.60x = 3,956.40 × 2,378.40
  4. Step 4: Simplify right side
    2,637.60x = 9,409,901.76
  5. Step 5: Solve for x
    x = 9,409,901.76/2,637.60
  6. Step 6: Final answer
    x = 3,567.60

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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.