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Finding the Fourth Proportional to 1,364.94, 1,883.52 and 1,070.91

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Solution

The fourth proportional to 1,364.94, 1,883.52 and 1,070.91 is: 1,477.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,364.94 : 1,883.52 = 1,070.91 : x
  2. Step 2: Convert to fraction form
    1,364.94/1,883.52 = 1,070.91/x
  3. Step 3: Cross multiply
    1,364.94x = 1,883.52 × 1,070.91
  4. Step 4: Simplify right side
    1,364.94x = 2,017,080.40
  5. Step 5: Solve for x
    x = 2,017,080.40/1,364.94
  6. Step 6: Final answer
    x = 1,477.78

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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.