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Finding the Fourth Proportional to 2,898.90, 4,349.70 and 1,513.80

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Solution

The fourth proportional to 2,898.90, 4,349.70 and 1,513.80 is: 2,271.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,898.90 : 4,349.70 = 1,513.80 : x
  2. Step 2: Convert to fraction form
    2,898.90/4,349.70 = 1,513.80/x
  3. Step 3: Cross multiply
    2,898.90x = 4,349.70 × 1,513.80
  4. Step 4: Simplify right side
    2,898.90x = 6,584,575.86
  5. Step 5: Solve for x
    x = 6,584,575.86/2,898.90
  6. Step 6: Final answer
    x = 2,271.40

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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.