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Finding the Fourth Proportional to 3,045.78, 4,570.83 and 1,313.46

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Solution

The fourth proportional to 3,045.78, 4,570.83 and 1,313.46 is: 1,971.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,045.78 : 4,570.83 = 1,313.46 : x
  2. Step 2: Convert to fraction form
    3,045.78/4,570.83 = 1,313.46/x
  3. Step 3: Cross multiply
    3,045.78x = 4,570.83 × 1,313.46
  4. Step 4: Simplify right side
    3,045.78x = 6,003,602.37
  5. Step 5: Solve for x
    x = 6,003,602.37/3,045.78
  6. Step 6: Final answer
    x = 1,971.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.