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Finding the Fourth Proportional to 1,734.34, 2,395.80 and 1,547.77

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Solution

The fourth proportional to 1,734.34, 2,395.80 and 1,547.77 is: 2,138.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,734.34 : 2,395.80 = 1,547.77 : x
  2. Step 2: Convert to fraction form
    1,734.34/2,395.80 = 1,547.77/x
  3. Step 3: Cross multiply
    1,734.34x = 2,395.80 × 1,547.77
  4. Step 4: Simplify right side
    1,734.34x = 3,708,147.37
  5. Step 5: Solve for x
    x = 3,708,147.37/1,734.34
  6. Step 6: Final answer
    x = 2,138.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.