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Finding the Fourth Proportional to 1,656.26, 2,285.64 and 900.04

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Solution

The fourth proportional to 1,656.26, 2,285.64 and 900.04 is: 1,242.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,656.26 : 2,285.64 = 900.04 : x
  2. Step 2: Convert to fraction form
    1,656.26/2,285.64 = 900.04/x
  3. Step 3: Cross multiply
    1,656.26x = 2,285.64 × 900.04
  4. Step 4: Simplify right side
    1,656.26x = 2,057,158.34
  5. Step 5: Solve for x
    x = 2,057,158.34/1,656.26
  6. Step 6: Final answer
    x = 1,242.05

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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.