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Finding the Fourth Proportional to 1,312.16, 1,809.96 and 919.04

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Solution

The fourth proportional to 1,312.16, 1,809.96 and 919.04 is: 1,267.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312.16 : 1,809.96 = 919.04 : x
  2. Step 2: Convert to fraction form
    1,312.16/1,809.96 = 919.04/x
  3. Step 3: Cross multiply
    1,312.16x = 1,809.96 × 919.04
  4. Step 4: Simplify right side
    1,312.16x = 1,663,425.64
  5. Step 5: Solve for x
    x = 1,663,425.64/1,312.16
  6. Step 6: Final answer
    x = 1,267.70

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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.