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Finding the Fourth Proportional to 1,705.80, 2,348.64 and 1,506.48

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Solution

The fourth proportional to 1,705.80, 2,348.64 and 1,506.48 is: 2,074.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,705.80 : 2,348.64 = 1,506.48 : x
  2. Step 2: Convert to fraction form
    1,705.80/2,348.64 = 1,506.48/x
  3. Step 3: Cross multiply
    1,705.80x = 2,348.64 × 1,506.48
  4. Step 4: Simplify right side
    1,705.80x = 3,538,179.19
  5. Step 5: Solve for x
    x = 3,538,179.19/1,705.80
  6. Step 6: Final answer
    x = 2,074.21

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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.