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Finding the Fourth Proportional to 2,705.01, 3,732.93 and 1,710.74

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Solution

The fourth proportional to 2,705.01, 3,732.93 and 1,710.74 is: 2,360.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,705.01 : 3,732.93 = 1,710.74 : x
  2. Step 2: Convert to fraction form
    2,705.01/3,732.93 = 1,710.74/x
  3. Step 3: Cross multiply
    2,705.01x = 3,732.93 × 1,710.74
  4. Step 4: Simplify right side
    2,705.01x = 6,386,054.00
  5. Step 5: Solve for x
    x = 6,386,054.00/2,705.01
  6. Step 6: Final answer
    x = 2,360.82

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1.5x scale

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.