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Finding the Fourth Proportional to 1,674.16, 2,310.25 and 928.08

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Solution

The fourth proportional to 1,674.16, 2,310.25 and 928.08 is: 1,280.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,674.16 : 2,310.25 = 928.08 : x
  2. Step 2: Convert to fraction form
    1,674.16/2,310.25 = 928.08/x
  3. Step 3: Cross multiply
    1,674.16x = 2,310.25 × 928.08
  4. Step 4: Simplify right side
    1,674.16x = 2,144,089.32
  5. Step 5: Solve for x
    x = 2,144,089.32/1,674.16
  6. Step 6: Final answer
    x = 1,280.69

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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.