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Finding the Fourth Proportional to 2,653.46, 3,661.62 and 1,534.22

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Solution

The fourth proportional to 2,653.46, 3,661.62 and 1,534.22 is: 2,117.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,653.46 : 3,661.62 = 1,534.22 : x
  2. Step 2: Convert to fraction form
    2,653.46/3,661.62 = 1,534.22/x
  3. Step 3: Cross multiply
    2,653.46x = 3,661.62 × 1,534.22
  4. Step 4: Simplify right side
    2,653.46x = 5,617,730.64
  5. Step 5: Solve for x
    x = 5,617,730.64/2,653.46
  6. Step 6: Final answer
    x = 2,117.13

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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.