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Finding the Fourth Proportional to 1,877.84, 2,816.76 and 1,054.88

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Solution

The fourth proportional to 1,877.84, 2,816.76 and 1,054.88 is: 1,582.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,877.84 : 2,816.76 = 1,054.88 : x
  2. Step 2: Convert to fraction form
    1,877.84/2,816.76 = 1,054.88/x
  3. Step 3: Cross multiply
    1,877.84x = 2,816.76 × 1,054.88
  4. Step 4: Simplify right side
    1,877.84x = 2,971,343.79
  5. Step 5: Solve for x
    x = 2,971,343.79/1,877.84
  6. Step 6: Final answer
    x = 1,582.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.