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Finding the Fourth Proportional to 1,417.42, 1,948.46 and 1,266.45

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Solution

The fourth proportional to 1,417.42, 1,948.46 and 1,266.45 is: 1,740.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,417.42 : 1,948.46 = 1,266.45 : x
  2. Step 2: Convert to fraction form
    1,417.42/1,948.46 = 1,266.45/x
  3. Step 3: Cross multiply
    1,417.42x = 1,948.46 × 1,266.45
  4. Step 4: Simplify right side
    1,417.42x = 2,467,627.17
  5. Step 5: Solve for x
    x = 2,467,627.17/1,417.42
  6. Step 6: Final answer
    x = 1,740.93

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.