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Finding the Fourth Proportional to 1,620.76, 2,235.10 and 1,030.24

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Solution

The fourth proportional to 1,620.76, 2,235.10 and 1,030.24 is: 1,420.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,620.76 : 2,235.10 = 1,030.24 : x
  2. Step 2: Convert to fraction form
    1,620.76/2,235.10 = 1,030.24/x
  3. Step 3: Cross multiply
    1,620.76x = 2,235.10 × 1,030.24
  4. Step 4: Simplify right side
    1,620.76x = 2,302,689.42
  5. Step 5: Solve for x
    x = 2,302,689.42/1,620.76
  6. Step 6: Final answer
    x = 1,420.75

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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.