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Finding the Fourth Proportional to 1,521.84, 2,100.23 and 858.72

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Solution

The fourth proportional to 1,521.84, 2,100.23 and 858.72 is: 1,185.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,521.84 : 2,100.23 = 858.72 : x
  2. Step 2: Convert to fraction form
    1,521.84/2,100.23 = 858.72/x
  3. Step 3: Cross multiply
    1,521.84x = 2,100.23 × 858.72
  4. Step 4: Simplify right side
    1,521.84x = 1,803,509.51
  5. Step 5: Solve for x
    x = 1,803,509.51/1,521.84
  6. Step 6: Final answer
    x = 1,185.08

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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.