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Finding the Fourth Proportional to 2,875.90, 4,307.05 and 1,415.47

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Solution

The fourth proportional to 2,875.90, 4,307.05 and 1,415.47 is: 2,119.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,875.90 : 4,307.05 = 1,415.47 : x
  2. Step 2: Convert to fraction form
    2,875.90/4,307.05 = 1,415.47/x
  3. Step 3: Cross multiply
    2,875.90x = 4,307.05 × 1,415.47
  4. Step 4: Simplify right side
    2,875.90x = 6,096,500.06
  5. Step 5: Solve for x
    x = 6,096,500.06/2,875.90
  6. Step 6: Final answer
    x = 2,119.86

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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.