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Finding the Fourth Proportional to 1,953.12, 2,692.28 and 1,455

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Solution

The fourth proportional to 1,953.12, 2,692.28 and 1,455 is: 2,005.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,953.12 : 2,692.28 = 1,455 : x
  2. Step 2: Convert to fraction form
    1,953.12/2,692.28 = 1,455/x
  3. Step 3: Cross multiply
    1,953.12x = 2,692.28 × 1,455
  4. Step 4: Simplify right side
    1,953.12x = 3,917,267.40
  5. Step 5: Solve for x
    x = 3,917,267.40/1,953.12
  6. Step 6: Final answer
    x = 2,005.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.