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Finding the Fourth Proportional to 1,775.96, 2,448 and 1,741.40

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Solution

The fourth proportional to 1,775.96, 2,448 and 1,741.40 is: 2,400.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,775.96 : 2,448 = 1,741.40 : x
  2. Step 2: Convert to fraction form
    1,775.96/2,448 = 1,741.40/x
  3. Step 3: Cross multiply
    1,775.96x = 2,448 × 1,741.40
  4. Step 4: Simplify right side
    1,775.96x = 4,262,947.20
  5. Step 5: Solve for x
    x = 4,262,947.20/1,775.96
  6. Step 6: Final answer
    x = 2,400.36

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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.