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Finding the Fourth Proportional to 1,471.90, 2,030.88 and 882.40

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Solution

The fourth proportional to 1,471.90, 2,030.88 and 882.40 is: 1,217.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,471.90 : 2,030.88 = 882.40 : x
  2. Step 2: Convert to fraction form
    1,471.90/2,030.88 = 882.40/x
  3. Step 3: Cross multiply
    1,471.90x = 2,030.88 × 882.40
  4. Step 4: Simplify right side
    1,471.90x = 1,792,048.51
  5. Step 5: Solve for x
    x = 1,792,048.51/1,471.90
  6. Step 6: Final answer
    x = 1,217.51

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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.