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Finding the Fourth Proportional to 2,703.16, 3,730.21 and 1,744.39

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Solution

The fourth proportional to 2,703.16, 3,730.21 and 1,744.39 is: 2,407.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,703.16 : 3,730.21 = 1,744.39 : x
  2. Step 2: Convert to fraction form
    2,703.16/3,730.21 = 1,744.39/x
  3. Step 3: Cross multiply
    2,703.16x = 3,730.21 × 1,744.39
  4. Step 4: Simplify right side
    2,703.16x = 6,506,925.25
  5. Step 5: Solve for x
    x = 6,506,925.25/2,703.16
  6. Step 6: Final answer
    x = 2,407.16

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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.