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Finding the Fourth Proportional to 2,152.36, 2,970.01 and 1,207.95

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Solution

The fourth proportional to 2,152.36, 2,970.01 and 1,207.95 is: 1,666.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,152.36 : 2,970.01 = 1,207.95 : x
  2. Step 2: Convert to fraction form
    2,152.36/2,970.01 = 1,207.95/x
  3. Step 3: Cross multiply
    2,152.36x = 2,970.01 × 1,207.95
  4. Step 4: Simplify right side
    2,152.36x = 3,587,623.58
  5. Step 5: Solve for x
    x = 3,587,623.58/2,152.36
  6. Step 6: Final answer
    x = 1,666.83

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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.