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Finding the Fourth Proportional to 1,345.22, 1,856.06 and 1,030.83

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Solution

The fourth proportional to 1,345.22, 1,856.06 and 1,030.83 is: 1,422.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,345.22 : 1,856.06 = 1,030.83 : x
  2. Step 2: Convert to fraction form
    1,345.22/1,856.06 = 1,030.83/x
  3. Step 3: Cross multiply
    1,345.22x = 1,856.06 × 1,030.83
  4. Step 4: Simplify right side
    1,345.22x = 1,913,277.18
  5. Step 5: Solve for x
    x = 1,913,277.18/1,345.22
  6. Step 6: Final answer
    x = 1,422.28

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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.