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Finding the Fourth Proportional to 1,686.47, 2,328.76 and 1,058.05

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Solution

The fourth proportional to 1,686.47, 2,328.76 and 1,058.05 is: 1,461.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,686.47 : 2,328.76 = 1,058.05 : x
  2. Step 2: Convert to fraction form
    1,686.47/2,328.76 = 1,058.05/x
  3. Step 3: Cross multiply
    1,686.47x = 2,328.76 × 1,058.05
  4. Step 4: Simplify right side
    1,686.47x = 2,463,944.52
  5. Step 5: Solve for x
    x = 2,463,944.52/1,686.47
  6. Step 6: Final answer
    x = 1,461.01

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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.