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Finding the Fourth Proportional to 2,376.51, 3,565.32 and 1,077.63

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Solution

The fourth proportional to 2,376.51, 3,565.32 and 1,077.63 is: 1,616.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,376.51 : 3,565.32 = 1,077.63 : x
  2. Step 2: Convert to fraction form
    2,376.51/3,565.32 = 1,077.63/x
  3. Step 3: Cross multiply
    2,376.51x = 3,565.32 × 1,077.63
  4. Step 4: Simplify right side
    2,376.51x = 3,842,095.79
  5. Step 5: Solve for x
    x = 3,842,095.79/2,376.51
  6. Step 6: Final answer
    x = 1,616.70

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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.