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Finding the Fourth Proportional to 1,534.07, 2,117.05 and 835.45

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Solution

The fourth proportional to 1,534.07, 2,117.05 and 835.45 is: 1,152.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,534.07 : 2,117.05 = 835.45 : x
  2. Step 2: Convert to fraction form
    1,534.07/2,117.05 = 835.45/x
  3. Step 3: Cross multiply
    1,534.07x = 2,117.05 × 835.45
  4. Step 4: Simplify right side
    1,534.07x = 1,768,682.04
  5. Step 5: Solve for x
    x = 1,768,682.04/1,534.07
  6. Step 6: Final answer
    x = 1,152.93

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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.