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Finding the Fourth Proportional to 1,978.63, 2,956.63 and 1,507.51

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Solution

The fourth proportional to 1,978.63, 2,956.63 and 1,507.51 is: 2,252.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,978.63 : 2,956.63 = 1,507.51 : x
  2. Step 2: Convert to fraction form
    1,978.63/2,956.63 = 1,507.51/x
  3. Step 3: Cross multiply
    1,978.63x = 2,956.63 × 1,507.51
  4. Step 4: Simplify right side
    1,978.63x = 4,457,147.81
  5. Step 5: Solve for x
    x = 4,457,147.81/1,978.63
  6. Step 6: Final answer
    x = 2,252.65

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.