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Finding the Fourth Proportional to 1,708.98, 2,560.98 and 1,360.74

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Solution

The fourth proportional to 1,708.98, 2,560.98 and 1,360.74 is: 2,039.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,708.98 : 2,560.98 = 1,360.74 : x
  2. Step 2: Convert to fraction form
    1,708.98/2,560.98 = 1,360.74/x
  3. Step 3: Cross multiply
    1,708.98x = 2,560.98 × 1,360.74
  4. Step 4: Simplify right side
    1,708.98x = 3,484,827.93
  5. Step 5: Solve for x
    x = 3,484,827.93/1,708.98
  6. Step 6: Final answer
    x = 2,039.13

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Why These Related Problems?

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