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Finding the Fourth Proportional to 1,740.94, 2,611.65 and 587.02

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Solution

The fourth proportional to 1,740.94, 2,611.65 and 587.02 is: 880.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,740.94 : 2,611.65 = 587.02 : x
  2. Step 2: Convert to fraction form
    1,740.94/2,611.65 = 587.02/x
  3. Step 3: Cross multiply
    1,740.94x = 2,611.65 × 587.02
  4. Step 4: Simplify right side
    1,740.94x = 1,533,090.78
  5. Step 5: Solve for x
    x = 1,533,090.78/1,740.94
  6. Step 6: Final answer
    x = 880.61

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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.