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Finding the Fourth Proportional to 1,572.45, 2,169.98 and 1,075.08

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Solution

The fourth proportional to 1,572.45, 2,169.98 and 1,075.08 is: 1,483.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,572.45 : 2,169.98 = 1,075.08 : x
  2. Step 2: Convert to fraction form
    1,572.45/2,169.98 = 1,075.08/x
  3. Step 3: Cross multiply
    1,572.45x = 2,169.98 × 1,075.08
  4. Step 4: Simplify right side
    1,572.45x = 2,332,896.72
  5. Step 5: Solve for x
    x = 2,332,896.72/1,572.45
  6. Step 6: Final answer
    x = 1,483.61

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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.