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Finding the Fourth Proportional to 1,798.84, 2,692.38 and 975.07

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Solution

The fourth proportional to 1,798.84, 2,692.38 and 975.07 is: 1,459.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,798.84 : 2,692.38 = 975.07 : x
  2. Step 2: Convert to fraction form
    1,798.84/2,692.38 = 975.07/x
  3. Step 3: Cross multiply
    1,798.84x = 2,692.38 × 975.07
  4. Step 4: Simplify right side
    1,798.84x = 2,625,245.50
  5. Step 5: Solve for x
    x = 2,625,245.50/1,798.84
  6. Step 6: Final answer
    x = 1,459.41

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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.