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Finding the Fourth Proportional to 1,415.84, 2,123.63 and 375.81

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Solution

The fourth proportional to 1,415.84, 2,123.63 and 375.81 is: 563.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415.84 : 2,123.63 = 375.81 : x
  2. Step 2: Convert to fraction form
    1,415.84/2,123.63 = 375.81/x
  3. Step 3: Cross multiply
    1,415.84x = 2,123.63 × 375.81
  4. Step 4: Simplify right side
    1,415.84x = 798,079.51
  5. Step 5: Solve for x
    x = 798,079.51/1,415.84
  6. Step 6: Final answer
    x = 563.68

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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.