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Finding the Fourth Proportional to 1,690.93, 2,334.13 and 1,513.57

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Solution

The fourth proportional to 1,690.93, 2,334.13 and 1,513.57 is: 2,089.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,690.93 : 2,334.13 = 1,513.57 : x
  2. Step 2: Convert to fraction form
    1,690.93/2,334.13 = 1,513.57/x
  3. Step 3: Cross multiply
    1,690.93x = 2,334.13 × 1,513.57
  4. Step 4: Simplify right side
    1,690.93x = 3,532,867.41
  5. Step 5: Solve for x
    x = 3,532,867.41/1,690.93
  6. Step 6: Final answer
    x = 2,089.31

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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.