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Finding the Fourth Proportional to 1,774.36, 2,675.05 and 1,649.08

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Solution

The fourth proportional to 1,774.36, 2,675.05 and 1,649.08 is: 2,486.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,774.36 : 2,675.05 = 1,649.08 : x
  2. Step 2: Convert to fraction form
    1,774.36/2,675.05 = 1,649.08/x
  3. Step 3: Cross multiply
    1,774.36x = 2,675.05 × 1,649.08
  4. Step 4: Simplify right side
    1,774.36x = 4,411,371.45
  5. Step 5: Solve for x
    x = 4,411,371.45/1,774.36
  6. Step 6: Final answer
    x = 2,486.18

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.