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Finding the Fourth Proportional to 1,662.76, 2,297.46 and 1,316.08

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Solution

The fourth proportional to 1,662.76, 2,297.46 and 1,316.08 is: 1,818.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,662.76 : 2,297.46 = 1,316.08 : x
  2. Step 2: Convert to fraction form
    1,662.76/2,297.46 = 1,316.08/x
  3. Step 3: Cross multiply
    1,662.76x = 2,297.46 × 1,316.08
  4. Step 4: Simplify right side
    1,662.76x = 3,023,641.16
  5. Step 5: Solve for x
    x = 3,023,641.16/1,662.76
  6. Step 6: Final answer
    x = 1,818.45

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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.