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Finding the Fourth Proportional to 2,152.47, 2,970.88 and 1,649.67

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Solution

The fourth proportional to 2,152.47, 2,970.88 and 1,649.67 is: 2,276.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,152.47 : 2,970.88 = 1,649.67 : x
  2. Step 2: Convert to fraction form
    2,152.47/2,970.88 = 1,649.67/x
  3. Step 3: Cross multiply
    2,152.47x = 2,970.88 × 1,649.67
  4. Step 4: Simplify right side
    2,152.47x = 4,900,956.34
  5. Step 5: Solve for x
    x = 4,900,956.34/2,152.47
  6. Step 6: Final answer
    x = 2,276.89

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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.