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Finding the Fourth Proportional to 1,370.68, 1,889.06 and 1,038.28

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Solution

The fourth proportional to 1,370.68, 1,889.06 and 1,038.28 is: 1,430.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,370.68 : 1,889.06 = 1,038.28 : x
  2. Step 2: Convert to fraction form
    1,370.68/1,889.06 = 1,038.28/x
  3. Step 3: Cross multiply
    1,370.68x = 1,889.06 × 1,038.28
  4. Step 4: Simplify right side
    1,370.68x = 1,961,373.22
  5. Step 5: Solve for x
    x = 1,961,373.22/1,370.68
  6. Step 6: Final answer
    x = 1,430.95

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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.