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Finding the Fourth Proportional to 1,425.05, 1,966.10 and 835.16

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Solution

The fourth proportional to 1,425.05, 1,966.10 and 835.16 is: 1,152.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,425.05 : 1,966.10 = 835.16 : x
  2. Step 2: Convert to fraction form
    1,425.05/1,966.10 = 835.16/x
  3. Step 3: Cross multiply
    1,425.05x = 1,966.10 × 835.16
  4. Step 4: Simplify right side
    1,425.05x = 1,642,008.82
  5. Step 5: Solve for x
    x = 1,642,008.82/1,425.05
  6. Step 6: Final answer
    x = 1,152.25

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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.