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Finding the Fourth Proportional to 2,928.34, 4,041.14 and 1,602.10

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Solution

The fourth proportional to 2,928.34, 4,041.14 and 1,602.10 is: 2,210.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,928.34 : 4,041.14 = 1,602.10 : x
  2. Step 2: Convert to fraction form
    2,928.34/4,041.14 = 1,602.10/x
  3. Step 3: Cross multiply
    2,928.34x = 4,041.14 × 1,602.10
  4. Step 4: Simplify right side
    2,928.34x = 6,474,292.28
  5. Step 5: Solve for x
    x = 6,474,292.28/2,928.34
  6. Step 6: Final answer
    x = 2,210.91

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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.