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Finding the Fourth Proportional to 1,755.84, 2,631.65 and 975.81

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Solution

The fourth proportional to 1,755.84, 2,631.65 and 975.81 is: 1,462.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,755.84 : 2,631.65 = 975.81 : x
  2. Step 2: Convert to fraction form
    1,755.84/2,631.65 = 975.81/x
  3. Step 3: Cross multiply
    1,755.84x = 2,631.65 × 975.81
  4. Step 4: Simplify right side
    1,755.84x = 2,567,985.51
  5. Step 5: Solve for x
    x = 2,567,985.51/1,755.84
  6. Step 6: Final answer
    x = 1,462.54

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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.