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Finding the Fourth Proportional to 2,362.50, 3,258.64 and 1,417.64

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Solution

The fourth proportional to 2,362.50, 3,258.64 and 1,417.64 is: 1,955.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,362.50 : 3,258.64 = 1,417.64 : x
  2. Step 2: Convert to fraction form
    2,362.50/3,258.64 = 1,417.64/x
  3. Step 3: Cross multiply
    2,362.50x = 3,258.64 × 1,417.64
  4. Step 4: Simplify right side
    2,362.50x = 4,619,578.41
  5. Step 5: Solve for x
    x = 4,619,578.41/2,362.50
  6. Step 6: Final answer
    x = 1,955.38

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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.