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Finding the Fourth Proportional to 1,701.10, 2,352.16 and 1,482.40

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Solution

The fourth proportional to 1,701.10, 2,352.16 and 1,482.40 is: 2,049.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,701.10 : 2,352.16 = 1,482.40 : x
  2. Step 2: Convert to fraction form
    1,701.10/2,352.16 = 1,482.40/x
  3. Step 3: Cross multiply
    1,701.10x = 2,352.16 × 1,482.40
  4. Step 4: Simplify right side
    1,701.10x = 3,486,841.98
  5. Step 5: Solve for x
    x = 3,486,841.98/1,701.10
  6. Step 6: Final answer
    x = 2,049.76

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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.