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Finding the Fourth Proportional to 2,392.64, 3,303.60 and 1,462.40

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Solution

The fourth proportional to 2,392.64, 3,303.60 and 1,462.40 is: 2,019.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,392.64 : 3,303.60 = 1,462.40 : x
  2. Step 2: Convert to fraction form
    2,392.64/3,303.60 = 1,462.40/x
  3. Step 3: Cross multiply
    2,392.64x = 3,303.60 × 1,462.40
  4. Step 4: Simplify right side
    2,392.64x = 4,831,184.64
  5. Step 5: Solve for x
    x = 4,831,184.64/2,392.64
  6. Step 6: Final answer
    x = 2,019.19

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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.