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Finding the Fourth Proportional to 1,534.47, 2,117.03 and 1,062.19

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Solution

The fourth proportional to 1,534.47, 2,117.03 and 1,062.19 is: 1,465.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,534.47 : 2,117.03 = 1,062.19 : x
  2. Step 2: Convert to fraction form
    1,534.47/2,117.03 = 1,062.19/x
  3. Step 3: Cross multiply
    1,534.47x = 2,117.03 × 1,062.19
  4. Step 4: Simplify right side
    1,534.47x = 2,248,688.10
  5. Step 5: Solve for x
    x = 2,248,688.10/1,534.47
  6. Step 6: Final answer
    x = 1,465.45

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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.