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Finding the Fourth Proportional to 1,312.63, 1,812.44 and 1,157.11

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Solution

The fourth proportional to 1,312.63, 1,812.44 and 1,157.11 is: 1,597.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312.63 : 1,812.44 = 1,157.11 : x
  2. Step 2: Convert to fraction form
    1,312.63/1,812.44 = 1,157.11/x
  3. Step 3: Cross multiply
    1,312.63x = 1,812.44 × 1,157.11
  4. Step 4: Simplify right side
    1,312.63x = 2,097,192.45
  5. Step 5: Solve for x
    x = 2,097,192.45/1,312.63
  6. Step 6: Final answer
    x = 1,597.70

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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.