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Finding the Fourth Proportional to 1,345.57, 1,857.59 and 841.57

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Solution

The fourth proportional to 1,345.57, 1,857.59 and 841.57 is: 1,161.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,345.57 : 1,857.59 = 841.57 : x
  2. Step 2: Convert to fraction form
    1,345.57/1,857.59 = 841.57/x
  3. Step 3: Cross multiply
    1,345.57x = 1,857.59 × 841.57
  4. Step 4: Simplify right side
    1,345.57x = 1,563,292.02
  5. Step 5: Solve for x
    x = 1,563,292.02/1,345.57
  6. Step 6: Final answer
    x = 1,161.81

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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.