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Finding the Fourth Proportional to 2,310.71, 3,466.07 and 924.16

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Solution

The fourth proportional to 2,310.71, 3,466.07 and 924.16 is: 1,386.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,310.71 : 3,466.07 = 924.16 : x
  2. Step 2: Convert to fraction form
    2,310.71/3,466.07 = 924.16/x
  3. Step 3: Cross multiply
    2,310.71x = 3,466.07 × 924.16
  4. Step 4: Simplify right side
    2,310.71x = 3,203,196.90
  5. Step 5: Solve for x
    x = 3,203,196.90/2,310.71
  6. Step 6: Final answer
    x = 1,386.24

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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.