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Finding the Fourth Proportional to 1,395.45, 1,925.88 and 836.10

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Solution

The fourth proportional to 1,395.45, 1,925.88 and 836.10 is: 1,153.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,395.45 : 1,925.88 = 836.10 : x
  2. Step 2: Convert to fraction form
    1,395.45/1,925.88 = 836.10/x
  3. Step 3: Cross multiply
    1,395.45x = 1,925.88 × 836.10
  4. Step 4: Simplify right side
    1,395.45x = 1,610,228.27
  5. Step 5: Solve for x
    x = 1,610,228.27/1,395.45
  6. Step 6: Final answer
    x = 1,153.91

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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.