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Finding the Fourth Proportional to 1,345, 1,857.18 and 880.06

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Solution

The fourth proportional to 1,345, 1,857.18 and 880.06 is: 1,215.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,345 : 1,857.18 = 880.06 : x
  2. Step 2: Convert to fraction form
    1,345/1,857.18 = 880.06/x
  3. Step 3: Cross multiply
    1,345x = 1,857.18 × 880.06
  4. Step 4: Simplify right side
    1,345x = 1,634,429.83
  5. Step 5: Solve for x
    x = 1,634,429.83/1,345
  6. Step 6: Final answer
    x = 1,215.19

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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.