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Finding the Fourth Proportional to 2,646.57, 3,651.08 and 1,652.10

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Solution

The fourth proportional to 2,646.57, 3,651.08 and 1,652.10 is: 2,279.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,646.57 : 3,651.08 = 1,652.10 : x
  2. Step 2: Convert to fraction form
    2,646.57/3,651.08 = 1,652.10/x
  3. Step 3: Cross multiply
    2,646.57x = 3,651.08 × 1,652.10
  4. Step 4: Simplify right side
    2,646.57x = 6,031,927.32
  5. Step 5: Solve for x
    x = 6,031,927.32/2,646.57
  6. Step 6: Final answer
    x = 2,279.15

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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.