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Finding the Fourth Proportional to 1,500.63, 2,070.72 and 911.13

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Solution

The fourth proportional to 1,500.63, 2,070.72 and 911.13 is: 1,257.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,500.63 : 2,070.72 = 911.13 : x
  2. Step 2: Convert to fraction form
    1,500.63/2,070.72 = 911.13/x
  3. Step 3: Cross multiply
    1,500.63x = 2,070.72 × 911.13
  4. Step 4: Simplify right side
    1,500.63x = 1,886,695.11
  5. Step 5: Solve for x
    x = 1,886,695.11/1,500.63
  6. Step 6: Final answer
    x = 1,257.27

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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.