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Finding the Fourth Proportional to 1,395.47, 1,925.81 and 835.83

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Solution

The fourth proportional to 1,395.47, 1,925.81 and 835.83 is: 1,153.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,395.47 : 1,925.81 = 835.83 : x
  2. Step 2: Convert to fraction form
    1,395.47/1,925.81 = 835.83/x
  3. Step 3: Cross multiply
    1,395.47x = 1,925.81 × 835.83
  4. Step 4: Simplify right side
    1,395.47x = 1,609,649.77
  5. Step 5: Solve for x
    x = 1,609,649.77/1,395.47
  6. Step 6: Final answer
    x = 1,153.48

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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.