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Finding the Fourth Proportional to 1,802.04, 2,713.66 and 1,573.66

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Solution

The fourth proportional to 1,802.04, 2,713.66 and 1,573.66 is: 2,369.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,802.04 : 2,713.66 = 1,573.66 : x
  2. Step 2: Convert to fraction form
    1,802.04/2,713.66 = 1,573.66/x
  3. Step 3: Cross multiply
    1,802.04x = 2,713.66 × 1,573.66
  4. Step 4: Simplify right side
    1,802.04x = 4,270,378.20
  5. Step 5: Solve for x
    x = 4,270,378.20/1,802.04
  6. Step 6: Final answer
    x = 2,369.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.