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Finding the Fourth Proportional to 1,565.01, 2,159.33 and 975.24

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Solution

The fourth proportional to 1,565.01, 2,159.33 and 975.24 is: 1,345.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,565.01 : 2,159.33 = 975.24 : x
  2. Step 2: Convert to fraction form
    1,565.01/2,159.33 = 975.24/x
  3. Step 3: Cross multiply
    1,565.01x = 2,159.33 × 975.24
  4. Step 4: Simplify right side
    1,565.01x = 2,105,860.11
  5. Step 5: Solve for x
    x = 2,105,860.11/1,565.01
  6. Step 6: Final answer
    x = 1,345.59

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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.