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Finding the Fourth Proportional to 1,415.58, 2,123.10 and 491.74

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Solution

The fourth proportional to 1,415.58, 2,123.10 and 491.74 is: 737.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415.58 : 2,123.10 = 491.74 : x
  2. Step 2: Convert to fraction form
    1,415.58/2,123.10 = 491.74/x
  3. Step 3: Cross multiply
    1,415.58x = 2,123.10 × 491.74
  4. Step 4: Simplify right side
    1,415.58x = 1,044,013.19
  5. Step 5: Solve for x
    x = 1,044,013.19/1,415.58
  6. Step 6: Final answer
    x = 737.52

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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.