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Finding the Fourth Proportional to 1,975.63, 2,726.70 and 1,502.77

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Solution

The fourth proportional to 1,975.63, 2,726.70 and 1,502.77 is: 2,074.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,975.63 : 2,726.70 = 1,502.77 : x
  2. Step 2: Convert to fraction form
    1,975.63/2,726.70 = 1,502.77/x
  3. Step 3: Cross multiply
    1,975.63x = 2,726.70 × 1,502.77
  4. Step 4: Simplify right side
    1,975.63x = 4,097,602.96
  5. Step 5: Solve for x
    x = 4,097,602.96/1,975.63
  6. Step 6: Final answer
    x = 2,074.07

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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.