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Finding the Fourth Proportional to 1,357.77, 1,874.33 and 910.35

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Solution

The fourth proportional to 1,357.77, 1,874.33 and 910.35 is: 1,256.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,357.77 : 1,874.33 = 910.35 : x
  2. Step 2: Convert to fraction form
    1,357.77/1,874.33 = 910.35/x
  3. Step 3: Cross multiply
    1,357.77x = 1,874.33 × 910.35
  4. Step 4: Simplify right side
    1,357.77x = 1,706,296.32
  5. Step 5: Solve for x
    x = 1,706,296.32/1,357.77
  6. Step 6: Final answer
    x = 1,256.69

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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.