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Finding the Fourth Proportional to 1,674.16, 2,310.35 and 928.13

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Solution

The fourth proportional to 1,674.16, 2,310.35 and 928.13 is: 1,280.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,674.16 : 2,310.35 = 928.13 : x
  2. Step 2: Convert to fraction form
    1,674.16/2,310.35 = 928.13/x
  3. Step 3: Cross multiply
    1,674.16x = 2,310.35 × 928.13
  4. Step 4: Simplify right side
    1,674.16x = 2,144,300.50
  5. Step 5: Solve for x
    x = 2,144,300.50/1,674.16
  6. Step 6: Final answer
    x = 1,280.82

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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.