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Finding the Fourth Proportional to 1,970.67, 2,715.77 and 1,410.16

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Solution

The fourth proportional to 1,970.67, 2,715.77 and 1,410.16 is: 1,943.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,970.67 : 2,715.77 = 1,410.16 : x
  2. Step 2: Convert to fraction form
    1,970.67/2,715.77 = 1,410.16/x
  3. Step 3: Cross multiply
    1,970.67x = 2,715.77 × 1,410.16
  4. Step 4: Simplify right side
    1,970.67x = 3,829,670.22
  5. Step 5: Solve for x
    x = 3,829,670.22/1,970.67
  6. Step 6: Final answer
    x = 1,943.33

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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.