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Finding the Fourth Proportional to 1,478.64, 2,041.44 and 1,038.32

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Solution

The fourth proportional to 1,478.64, 2,041.44 and 1,038.32 is: 1,433.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,478.64 : 2,041.44 = 1,038.32 : x
  2. Step 2: Convert to fraction form
    1,478.64/2,041.44 = 1,038.32/x
  3. Step 3: Cross multiply
    1,478.64x = 2,041.44 × 1,038.32
  4. Step 4: Simplify right side
    1,478.64x = 2,119,667.98
  5. Step 5: Solve for x
    x = 2,119,667.98/1,478.64
  6. Step 6: Final answer
    x = 1,433.53

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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.