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Finding the Fourth Proportional to 1,345.98, 1,857.35 and 903.81

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Solution

The fourth proportional to 1,345.98, 1,857.35 and 903.81 is: 1,247.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,345.98 : 1,857.35 = 903.81 : x
  2. Step 2: Convert to fraction form
    1,345.98/1,857.35 = 903.81/x
  3. Step 3: Cross multiply
    1,345.98x = 1,857.35 × 903.81
  4. Step 4: Simplify right side
    1,345.98x = 1,678,691.50
  5. Step 5: Solve for x
    x = 1,678,691.50/1,345.98
  6. Step 6: Final answer
    x = 1,247.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.