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Finding the Fourth Proportional to 1,854.37, 2,558.98 and 1,145.93

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Solution

The fourth proportional to 1,854.37, 2,558.98 and 1,145.93 is: 1,581.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,854.37 : 2,558.98 = 1,145.93 : x
  2. Step 2: Convert to fraction form
    1,854.37/2,558.98 = 1,145.93/x
  3. Step 3: Cross multiply
    1,854.37x = 2,558.98 × 1,145.93
  4. Step 4: Simplify right side
    1,854.37x = 2,932,411.95
  5. Step 5: Solve for x
    x = 2,932,411.95/1,854.37
  6. Step 6: Final answer
    x = 1,581.35

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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.