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Finding the Fourth Proportional to 1,425.08, 2,134.63 and 904.82

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Solution

The fourth proportional to 1,425.08, 2,134.63 and 904.82 is: 1,355.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,425.08 : 2,134.63 = 904.82 : x
  2. Step 2: Convert to fraction form
    1,425.08/2,134.63 = 904.82/x
  3. Step 3: Cross multiply
    1,425.08x = 2,134.63 × 904.82
  4. Step 4: Simplify right side
    1,425.08x = 1,931,442.98
  5. Step 5: Solve for x
    x = 1,931,442.98/1,425.08
  6. Step 6: Final answer
    x = 1,355.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.