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Finding the Fourth Proportional to 1,510.36, 2,083.98 and 1,038.68

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Solution

The fourth proportional to 1,510.36, 2,083.98 and 1,038.68 is: 1,433.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,510.36 : 2,083.98 = 1,038.68 : x
  2. Step 2: Convert to fraction form
    1,510.36/2,083.98 = 1,038.68/x
  3. Step 3: Cross multiply
    1,510.36x = 2,083.98 × 1,038.68
  4. Step 4: Simplify right side
    1,510.36x = 2,164,588.35
  5. Step 5: Solve for x
    x = 2,164,588.35/1,510.36
  6. Step 6: Final answer
    x = 1,433.16

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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.