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Finding the Fourth Proportional to 1,774.76, 2,645.73 and 1,746.68

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Solution

The fourth proportional to 1,774.76, 2,645.73 and 1,746.68 is: 2,603.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,774.76 : 2,645.73 = 1,746.68 : x
  2. Step 2: Convert to fraction form
    1,774.76/2,645.73 = 1,746.68/x
  3. Step 3: Cross multiply
    1,774.76x = 2,645.73 × 1,746.68
  4. Step 4: Simplify right side
    1,774.76x = 4,621,243.68
  5. Step 5: Solve for x
    x = 4,621,243.68/1,774.76
  6. Step 6: Final answer
    x = 2,603.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.