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Finding the Fourth Proportional to 1,689.74, 2,332.23 and 991.34

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Solution

The fourth proportional to 1,689.74, 2,332.23 and 991.34 is: 1,368.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,689.74 : 2,332.23 = 991.34 : x
  2. Step 2: Convert to fraction form
    1,689.74/2,332.23 = 991.34/x
  3. Step 3: Cross multiply
    1,689.74x = 2,332.23 × 991.34
  4. Step 4: Simplify right side
    1,689.74x = 2,312,032.89
  5. Step 5: Solve for x
    x = 2,312,032.89/1,689.74
  6. Step 6: Final answer
    x = 1,368.28

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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.