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Finding the Fourth Proportional to 1,417.02, 2,126.15 and 493.23

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Solution

The fourth proportional to 1,417.02, 2,126.15 and 493.23 is: 740.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,417.02 : 2,126.15 = 493.23 : x
  2. Step 2: Convert to fraction form
    1,417.02/2,126.15 = 493.23/x
  3. Step 3: Cross multiply
    1,417.02x = 2,126.15 × 493.23
  4. Step 4: Simplify right side
    1,417.02x = 1,048,680.96
  5. Step 5: Solve for x
    x = 1,048,680.96/1,417.02
  6. Step 6: Final answer
    x = 740.06

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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.