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Finding the Fourth Proportional to 1,730.27, 2,595.33 and 805.51

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Solution

The fourth proportional to 1,730.27, 2,595.33 and 805.51 is: 1,208.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,730.27 : 2,595.33 = 805.51 : x
  2. Step 2: Convert to fraction form
    1,730.27/2,595.33 = 805.51/x
  3. Step 3: Cross multiply
    1,730.27x = 2,595.33 × 805.51
  4. Step 4: Simplify right side
    1,730.27x = 2,090,547.26
  5. Step 5: Solve for x
    x = 2,090,547.26/1,730.27
  6. Step 6: Final answer
    x = 1,208.22

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