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Finding the Fourth Proportional to 1,716.51, 2,570.62 and 983.86

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Solution

The fourth proportional to 1,716.51, 2,570.62 and 983.86 is: 1,473.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,716.51 : 2,570.62 = 983.86 : x
  2. Step 2: Convert to fraction form
    1,716.51/2,570.62 = 983.86/x
  3. Step 3: Cross multiply
    1,716.51x = 2,570.62 × 983.86
  4. Step 4: Simplify right side
    1,716.51x = 2,529,130.19
  5. Step 5: Solve for x
    x = 2,529,130.19/1,716.51
  6. Step 6: Final answer
    x = 1,473.41

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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.