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Finding the Fourth Proportional to 2,973.66, 4,461.39 and 1,026.06

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Solution

The fourth proportional to 2,973.66, 4,461.39 and 1,026.06 is: 1,539.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,973.66 : 4,461.39 = 1,026.06 : x
  2. Step 2: Convert to fraction form
    2,973.66/4,461.39 = 1,026.06/x
  3. Step 3: Cross multiply
    2,973.66x = 4,461.39 × 1,026.06
  4. Step 4: Simplify right side
    2,973.66x = 4,577,653.82
  5. Step 5: Solve for x
    x = 4,577,653.82/2,973.66
  6. Step 6: Final answer
    x = 1,539.40

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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.