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Finding the Fourth Proportional to 2,920.64, 4,030.52 and 1,594.40

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Solution

The fourth proportional to 2,920.64, 4,030.52 and 1,594.40 is: 2,200.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,920.64 : 4,030.52 = 1,594.40 : x
  2. Step 2: Convert to fraction form
    2,920.64/4,030.52 = 1,594.40/x
  3. Step 3: Cross multiply
    2,920.64x = 4,030.52 × 1,594.40
  4. Step 4: Simplify right side
    2,920.64x = 6,426,232.96
  5. Step 5: Solve for x
    x = 6,426,232.96/2,920.64
  6. Step 6: Final answer
    x = 2,200.29

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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.