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Finding the Fourth Proportional to 1,267.68, 1,752.66 and 973.92

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Solution

The fourth proportional to 1,267.68, 1,752.66 and 973.92 is: 1,346.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,267.68 : 1,752.66 = 973.92 : x
  2. Step 2: Convert to fraction form
    1,267.68/1,752.66 = 973.92/x
  3. Step 3: Cross multiply
    1,267.68x = 1,752.66 × 973.92
  4. Step 4: Simplify right side
    1,267.68x = 1,706,950.63
  5. Step 5: Solve for x
    x = 1,706,950.63/1,267.68
  6. Step 6: Final answer
    x = 1,346.52

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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.