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Finding the Fourth Proportional to 3,000.32, 4,501.60 and 1,358.40

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Solution

The fourth proportional to 3,000.32, 4,501.60 and 1,358.40 is: 2,038.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,000.32 : 4,501.60 = 1,358.40 : x
  2. Step 2: Convert to fraction form
    3,000.32/4,501.60 = 1,358.40/x
  3. Step 3: Cross multiply
    3,000.32x = 4,501.60 × 1,358.40
  4. Step 4: Simplify right side
    3,000.32x = 6,114,973.44
  5. Step 5: Solve for x
    x = 6,114,973.44/3,000.32
  6. Step 6: Final answer
    x = 2,038.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.