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Finding the Fourth Proportional to 1,841.55, 2,763.14 and 975.66

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Solution

The fourth proportional to 1,841.55, 2,763.14 and 975.66 is: 1,463.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,841.55 : 2,763.14 = 975.66 : x
  2. Step 2: Convert to fraction form
    1,841.55/2,763.14 = 975.66/x
  3. Step 3: Cross multiply
    1,841.55x = 2,763.14 × 975.66
  4. Step 4: Simplify right side
    1,841.55x = 2,695,869.93
  5. Step 5: Solve for x
    x = 2,695,869.93/1,841.55
  6. Step 6: Final answer
    x = 1,463.92

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.