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Finding the Fourth Proportional to 1,852.48, 2,761.72 and 1,706.32

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Solution

The fourth proportional to 1,852.48, 2,761.72 and 1,706.32 is: 2,543.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,852.48 : 2,761.72 = 1,706.32 : x
  2. Step 2: Convert to fraction form
    1,852.48/2,761.72 = 1,706.32/x
  3. Step 3: Cross multiply
    1,852.48x = 2,761.72 × 1,706.32
  4. Step 4: Simplify right side
    1,852.48x = 4,712,378.07
  5. Step 5: Solve for x
    x = 4,712,378.07/1,852.48
  6. Step 6: Final answer
    x = 2,543.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.