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Finding the Fourth Proportional to 1,303.10, 1,945.36 and 1,257.54

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Solution

The fourth proportional to 1,303.10, 1,945.36 and 1,257.54 is: 1,877.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,303.10 : 1,945.36 = 1,257.54 : x
  2. Step 2: Convert to fraction form
    1,303.10/1,945.36 = 1,257.54/x
  3. Step 3: Cross multiply
    1,303.10x = 1,945.36 × 1,257.54
  4. Step 4: Simplify right side
    1,303.10x = 2,446,368.01
  5. Step 5: Solve for x
    x = 2,446,368.01/1,303.10
  6. Step 6: Final answer
    x = 1,877.34

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.