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Finding the Fourth Proportional to 1,707.58, 2,548.90 and 1,465.66

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Solution

The fourth proportional to 1,707.58, 2,548.90 and 1,465.66 is: 2,187.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,707.58 : 2,548.90 = 1,465.66 : x
  2. Step 2: Convert to fraction form
    1,707.58/2,548.90 = 1,465.66/x
  3. Step 3: Cross multiply
    1,707.58x = 2,548.90 × 1,465.66
  4. Step 4: Simplify right side
    1,707.58x = 3,735,820.77
  5. Step 5: Solve for x
    x = 3,735,820.77/1,707.58
  6. Step 6: Final answer
    x = 2,187.79

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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.